Relevant bibliographies by topics / Singular integral operator

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Singular integral operator'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Singular integral operator"

1

Lanzhe, Liu. "Continuity for some multilinear operators of integral operators on Triebel-Lizorkin spaces." International Journal of Mathematics and Mathematical Sciences 2004, no. 38 (2004): 2039–47. http://dx.doi.org/10.1155/s0161171204303121.

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The continuityfor some multilinear operators related to certain fractional singular integral operators on Triebel-Lizorkin spaces is obtained. The operators include Calderon-Zygmund singular integral operator and fractional integral operator.
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Potseiko, Pavel Gennadjevich, and Evgeny Alekseevich Rovba. "Approximations of one singular integral on an interval by Fourier-Chebyshev rational integral operators." Sbornik: Mathematics 215, no. 7 (2024): 953–92. http://dx.doi.org/10.4213/sm10030e.

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We study approximations on the interval $[-1,1]$ of singular integrals of the form $$ \widehat{f}(x)=\int_{-1}^{1}\frac{f(t)}{t-x}\sqrt{1-t^2} dt, \qquad x \in [-1,1], $$ by two rational integral operators related to each other in a certain sense. The first is the Fourier-Chebyshev integral operator associated with the Chebyshev-Markov system of rational functions. The second operator is its image under the transformation by the singular integral under consideration. Approximative properties of the corresponding polynomial analogues of both operators are studied in the case where the density o
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Hasanov, J. J., I. Ekincioglu, and C. Keskin. "A characterization for $B$-singular integral operator and its commutators on generalized weighted $B$-Morrey spaces." Carpathian Mathematical Publications 15, no. 1 (2023): 196–211. http://dx.doi.org/10.15330/cmp.15.1.196-211.

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We study the maximal operator $M_{\gamma}$ and the singular integral operator $A_{\gamma}$, associated with the generalized shift operator. The generalized shift operators are associated with the Laplace-Bessel differential operator. Our analysis is based on two weighted inequalities for the maximal operator, singular integral operators, and their commutators, related to the Laplace-Bessel differential operator in generalized weighted $B$-Morrey spaces.
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Liu, Lanzhe. "Estimates of multilinear singular integral operators and mean oscillation." Publications de l'Institut Math?matique (Belgrade) 95, no. 109 (2014): 201–14. http://dx.doi.org/10.2298/pim1409201l.

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We prove the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces. The operators include Calder?n-Zygmund singular integral operator, Littlewood-Paley operator and Marcinkiewicz operator.
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Chen, Jiecheng, and Guoen Hu. "Compact Commutators of Rough Singular Integral Operators." Canadian Mathematical Bulletin 58, no. 1 (2015): 19–29. http://dx.doi.org/10.4153/cmb-2014-042-1.

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AbstractLet b ∊ BMO(ℝn) and TΩ be the singular integral operator with kernel Ω(x)/|x|n, where Ω is homogeneous of degree zero, integrable, and has mean value zero on the unit sphere Sn-1. In this paper, using Fourier transform estimates and approximation to the operator TΩ by integral operators with smooth kernels, it is proved that if b ∊ CMO(ℝn) and satisfies certain minimal size condition, then the commutator generated by b and TΩ is a compact operator on Lp(ℝn) for appropriate index p. The associated maximal operator is also considered.
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Hasanov, Javanshir J. "Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces". Journal of Function Spaces 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/505237.

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We study the boundedness ofΦ-admissible sublinear singular operators on Orlicz-Morrey spacesMΦ,φℝn. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator and Calderón-Zygmund singular integral operator.
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Hu, Guoen, Yan Meng, and Dachun Yang. "Estimates for maximal singular integral operators in non-homogeneous spaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 136, no. 2 (2006): 351–64. http://dx.doi.org/10.1017/s0308210500004601.

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Under the assumption that the Radon measure μ on Rd satisfies only some growth condition, the authors prove that, for the maximal singular integral operator associated with a singular integral whose kernel only satisfies a standard size condition and the Hörmander condition, its boundedness in Lebesgue spaces Lp(μ) for any p ∈ (1, ∞) is equivalent to its boundedness from L1(μ) into weak L1(μ). As an application, the authors verify that if the truncated singular integral operators are bounded on L2(μ) uniformly, then the associated maximal singular integral operator is also bounded on Lp(μ) for
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Оdinabekov, Jasur M. "On the Noethericity conditions and the index of some two–dimensional singular integral operators." Russian Universities Reports. Mathematics, no. 138 (2022): 164–74. http://dx.doi.org/10.20310/2686-9667-2022-27-138-164-174.

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The main problems in the theory of singular integral operators are the problems of boundedness, invertibility, Noethericity, and calculation of the index. The general theory of multidimensional singular integral operators over the entire space E_n was constructed by S.G. Mikhlin. It is known that in the two-dimensional case, if the symbol of an operator does not vanish, then the Fredholm theory holds. For operators over a bounded domain, the boundary of this domain significantly affects the solvability of the corresponding operator equations. In this paper, we consider two-dimensional singular
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Al-Qassem, H. M. "Weighted norm inequalities for a class of rough singular integrals." International Journal of Mathematics and Mathematical Sciences 2005, no. 5 (2005): 657–69. http://dx.doi.org/10.1155/ijmms.2005.657.

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Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.
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Boimatov, K. Kh, and G. Dzhangibekov. "On a singular integral operator." Russian Mathematical Surveys 43, no. 3 (1988): 199–200. http://dx.doi.org/10.1070/rm1988v043n03abeh001746.

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Dissertations / Theses on the topic "Singular integral operator"

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Bosch, Camós Anna. "Controlant la integral singular maximal." Doctoral thesis, Universitat Autònoma de Barcelona, 2015. http://hdl.handle.net/10803/314177.

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Els principals objectes d'estudi d'aquesta memòria són les integrals singulars. Per l'elaboració d'aquesta memòria, trobem una especial motivació en tres articles originats a partir de la idea d'acotar la norma de l'operador maximal d'una integral singular per la norma de la integral singular. En el primer article, de J. Mateu i J. Verdera del 2006, [MV], s'hi proven desigualtats puntuals pels casos particulars de la j-èssima transformada de Riesz i de la transformada de Beurling. Es fa notar per primer cop que les acotacions són diferents degut a la paritat del nucli de les respectives tran
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Chunaev, Petr. "Singular integral operators and rectifiability." Doctoral thesis, Universitat Autònoma de Barcelona, 2018. http://hdl.handle.net/10803/663827.

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Los problemas que estudiamos en esta tesis se encuentran en el área de Análisis Armónico y Teoría de la Medida Geométrica. En particular, consideramos la conexión entre las propiedades analíticas de operadores integrales singulares definidos en $L^2(\mu)$ y asociados con algunos núcleos de Calderón-Zygmund y las propiedades geométricas de la medida $\mu$. Seamos más precisos. Sea $E$ un conjunto de Borel en el plano complejo con la medida lineal de Hausdorff $H^1$ finita y distinta de cero, es decir, $0<H^1(E)<\infty $. G. David y J.C. Léger (1999) probaron que el núcleo de Cauchy $1/z$ (e su
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Moussai, Madani. "Continuite de certains operateurs integraux singuliers sur les espaces de besov." Paris 7, 1987. http://www.theses.fr/1987PA077016.

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On s'interesse a des conditions necessaires et suffisantes de continuite-l**(2) (resp. Continuite - besov b**(s)::(p,q)), des commutateurs entre les operateurs pseudo-differentiels o. P. D. De type s**(11,a); a1 (resp. S**(11,0)), et les fonctions dont les gradients sont bornes (resp. Des multiplicateurs de besov m(b**(s)::(p,q))). La continuite - besov du commutateur a l'aide du critere de lemarie, mene a etudier la continuite des o. P. D. De type s**(01,0) sur m(b**(sp,q)): les o. P. D. D'ordre 0 sont bornes sur les versions "localisees l**(e") de b**(s)::(p,q), par consequent sur m(b**(s)::
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Li, Xiaochun. "Uniform bounds for the bilinear Hilbert transforms /." free to MU campus, to others for purchase, 2001. http://wwwlib.umi.com/cr/mo/fullcit?p3025634.

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Ehrhardt, Torsten. "Factorization theory for Toeplitz plus Hankel operators and singular integral operators with flip." Doctoral thesis, [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=972573305.

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Hofmann, Bernd, and Wolfersdorf Lothar von. "New results on the degree of ill-posedness for integration operators with weights." Universitätsbibliothek Chemnitz, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800545.

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We extend our results on the degree of ill-posedness for linear integration opera- tors A with weights mapping in the Hilbert space L^2(0,1), which were published in the journal 'Inverse Problems' in 2005 ([5]). Now we can prove that the degree one also holds for a family of exponential weight functions. In this context, we empha- size that for integration operators with outer weights the use of the operator AA^* is more appropriate for the analysis of eigenvalue problems and the corresponding asymptotics of singular values than the former use of A^*A.
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Axelsson, Andreas, and kax74@yahoo se. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." The Australian National University. School of Mathematical Sciences, 2002. http://thesis.anu.edu.au./public/adt-ANU20050106.093019.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface,in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission pro
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Vaktnäs, Marcus. "On Singular Integral Operators." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-355872.

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Reguera, Rodriguez Maria del Carmen. "Sharp weighted estimates for singular integral operators." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/39522.

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The thesis provides answers, in one case partial and in the other final, to two conjectures in the area of weighted inequalities for Singular Integral Operators. We study the mapping properties of these operators in weighted Lebesgue spaces with weight w. The novelty of this thesis resides in proving sharp dependence of the operator norm on the Muckenhoupt constant associated to the weigth w for a rich class of Singular Integral operators. The thesis also addresses the end point case p=1, providing counterexamples for the dyadic and continuous settings.
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Santana, Edixon Manuel Rojas. "A study of singular integral operators with shift." Doctoral thesis, Universidade de Aveiro, 2010. http://hdl.handle.net/10773/3882.

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Doutoramento em Matemática<br>Nesta tese, consideram-se operadores integrais singulares com a acção extra de um operador de deslocacamento de Carleman e com coeficientes em diferentes classes de funções essencialmente limitadas. Nomeadamente, funções contínuas por troços, funções quase-periódicas e funções possuíndo factorização generalizada. Nos casos dos operadores integrais singulares com deslocamento dado pelo operador de reflexão ou pelo operador de salto no círculo unitário complexo, obtêm-se critérios para a propriedade de Fredholm. Para os coeficientes contínuos, uma fórmula do
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Books on the topic "Singular integral operator"

1

Mikhlin, S. G. Singular integral operators. Springer-Verlag, 1986.

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Kravchenko, Victor G. Introduction to the theory of singular integral operators with shift. Kluwer Academic Publishers, 1994.

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I, Gohberg. One-dimensional linear singular integral equations. Birkhäuser Verlag, 1992.

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1953-, Spitkovskiĭ Ilya M., ed. Convolution equations and singular integral operators: Selected papers of Israel Gohberg and Georg Heinig, Israel Gohberg and Nahum Krupnik. Birkhäuser, 2010.

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Albrecht, Böttcher, ed. Singular integral operators, factorization, and applications: International Workshop on Operator Theory and Applications, IWOTA 2000, Portugal. Birkhäuser, 2003.

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Bottcher, Albrecht. Singular Integral Operators, Factorization and Applications: International Workshop on Operator Theory and Applications IWOTA 2000, Portugal. Birkhäuser Basel, 2003.

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Borichev, Alexander A. Systems, Approximation, Singular Integral Operators, and Related Topics: International Workshop on Operator Theory and Applications, IWOTA 2000. Birkhäuser Basel, 2001.

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1963-, Borichev Alexander A., and Nikol̆ski︣i N. K, eds. Systems, approximation, singular integral operators, and related topics: International Workshop on Operator Theory and Applications, IWOTA 2000. Birkhäuser Verlag, 2001.

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Mikhlin, S. G. Singular integral operators. Akademie-Verlag, 1986.

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Mikhlin, Solomon G., and Siegfried Prössdorf. Singular Integral Operators. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61631-0.

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Book chapters on the topic "Singular integral operator"

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Gohberg, Israel, and Naum Krupnik. "The operator of singular integration." In One-Dimensional Linear Singular Integral Equations. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-8647-5_2.

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Krupnik, Naum Yakovlevich. "Singular Integral Operators with Matrix Coefficients." In Operator Theory: Advances and Applications. Birkhäuser Basel, 1987. http://dx.doi.org/10.1007/978-3-0348-5463-4_3.

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Longstaff, William E. "Single Elements of Operator Algebras." In Singular Integral Operators, Factorization and Applications. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8007-7_12.

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Karlovich, Alexei Yu. "Singular Integral Operators on Variable Lebesgue Spaces with Radial Oscillating Weights." In Operator Algebras, Operator Theory and Applications. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0174-0_9.

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Campos, Lina, Amarino Lebre, Rui Marreiros, and Juan Rodríguez. "Singular Integral Operators with Linear Fractional Shifts on the Unit Circle." In Operator Theory, Operator Algebras and Applications. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0816-3_5.

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Ehrhardt, Torsten, Steffen Roch, and Bernd Silbermann. "Symbol calculus for singular integrals with operator-valued PQC-coefficients." In Singular Integral Operators and Related Topics. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9040-3_6.

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Ehrhardt, Torsten, Steffen Roch, and Bernd Silbermann. "Finite Section Method for singular integrals with operator-valued PQC-coefficients." In Singular Integral Operators and Related Topics. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9040-3_7.

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Gohberg, Israel, and Georg Heinig. "The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials." In Convolution Equations and Singular Integral Operators. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8956-7_5.

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Rochberg, Richard, and Stephen Semmes. "End Point Results for Estimates of Singular Values of Singular Integral Operators." In Contributions to Operator Theory and its Applications. Birkhäuser Basel, 1988. http://dx.doi.org/10.1007/978-3-0348-9284-1_9.

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Karlovich, Yu I. "Algebras of Singular Integral Operators with PQC Coefficients on Weighted Lebesgue Spaces." In Operator Algebras, Toeplitz Operators and Related Topics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2_15.

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Conference papers on the topic "Singular integral operator"

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Karelin, Oleksandr. "Operator Equalities for Singular Integral Operators and Their Applications." In Proceedings of the 4th International ISAAC Congress. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701732_0046.

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FARWIG, REINHARD. "FLOW AROUND ROTATING OBSTACLES – ANALYSIS OF A SINGULAR INTEGRAL OPERATOR." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0057.

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ROGOSIN, S. V. "ON APPLICATION OF THE MONOTONE OPERATOR METHOD TO SOLVABILITY OF NONLINEAR SINGULAR INTEGRAL EQUATIONS." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0119.

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Bliev, Nazarbai K. "Noetherity of a singular integral operator equation with operations of shift and complex conjugacy in fractional spaces." In INTERNATIONAL CONFERENCE “FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS” (FAIA2017). Author(s), 2017. http://dx.doi.org/10.1063/1.5000644.

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Hara, Kensuke, and Masahiro Watanabe. "Stability Analysis of Rectangular Plates in Incompressible Flow With Fourier Multiplier Operators." In ASME 2013 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/pvp2013-97525.

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This paper describes a development of a method which improves the computational efficiency for a linear stability analysis of a plate in an uniform incompressible and irrotational flow. We introduce the Fourier multiplier operator to formulate the fluid and plate interaction problem with the mixed boundary condition. In previous typical approaches, a singular integral equation often appears in the formulation of a pressure distribution on the plate. The computation time for solving the integral equation is one of the problem encountered in the stability analysis. Applying the Fourier multiplie
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Beltiţă, Ingrid. "Multilinear singular integral operators in backscattering." In MATHEMATICAL MODELING OF WAVE PHENOMENA: 2nd Conference on Mathematical Modeling of Wave Phenomena. AIP, 2006. http://dx.doi.org/10.1063/1.2205806.

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Polosin, A., and N. Popivanov. "Some properties of degenerated singular integral operators." In “TOPICAL ISSUES OF THERMOPHYSICS, ENERGETICS AND HYDROGASDYNAMICS IN THE ARCTIC CONDITIONS”: Dedicated to the 85th Birthday Anniversary of Professor E. A. Bondarev. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0100930.

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Vasilevski, Nikolai, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Two-dimensional Singular Integral Operators via Poly-Bergman Spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637754.

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Orynyak, Igor, Anatolii Batura, Andrii Oryniak, and Igor Lokhman. "Oore-Burns Function of Form Application in Numerical Treatment of Mode I Flat Crack Problem in Infinite Body." In ASME 2016 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/pvp2016-63304.

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The general approach of numerical treatment of integro-differential equation of the flat crack problem is considered. It consists in presenting the crack surface loading as the set of the polynomial functions of two Cartesian coordinates while the corresponding crack surface displacements are chosen as the similar polynomials multiplied by the function of form (FoF) which reflects the required singularity of their behavior. To find the relations matrixes between these two sets a new effective numerical procedure for the integration over the area of arbitrary shape crack is developed. In based
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Uysal, Gümrah. "Weighted convergence aspects of a particular class of singular integral operators." In 1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5047889.

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