Relevant bibliographies by topics / Classes de Muckenhoupt / Journal articles
To see the other types of publications on this topic, follow the link: Classes de Muckenhoupt.

Journal articles on the topic 'Classes de Muckenhoupt'

Author: Grafiati
Published: 4 June 2021
Last updated: 14 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 23 journal articles for your research on the topic 'Classes de Muckenhoupt.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Aimar, Hugo, Marilina Carena, and Bibiana Iaffei. "Completeness of Muckenhoupt classes." Journal of Mathematical Analysis and Applications 361, no. 2 (January 2010): 401–10. http://dx.doi.org/10.1016/j.jmaa.2009.07.027.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Fu, Zunwei, Shanzhen Lu, Yibiao Pan, and Shaoguang Shi. "Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/291397.

Full text
Abstract:
We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of measures.
APA, Harvard, Vancouver, ISO, and other styles
3

Mitsis, Themis. "Embedding $B_\infty $ into Muckenhoupt classes." Proceedings of the American Mathematical Society 133, no. 4 (November 3, 2004): 1057–61. http://dx.doi.org/10.1090/s0002-9939-04-07803-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Wik, Ingemar. "On Muckenhoupt´s classes of weight functions." Studia Mathematica 94, no. 3 (1989): 245–55. http://dx.doi.org/10.4064/sm-94-3-245-255.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Li, Kangwei, José María Martell, and Sheldy Ombrosi. "Extrapolation for multilinear Muckenhoupt classes and applications." Advances in Mathematics 373 (October 2020): 107286. http://dx.doi.org/10.1016/j.aim.2020.107286.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Saker, Samir H., and Mario Krnić. "The weighted discrete Gehring classes, Muckenhoupt classes and their basic properties." Proceedings of the American Mathematical Society 149, no. 1 (October 9, 2020): 231–43. http://dx.doi.org/10.1090/proc/15180.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Komori-Furuya, Yasuo. "A note on Muckenhoupt type weight classes on nondoubling measure spaces." gmj 18, no. 1 (March 2011): 131–35. http://dx.doi.org/10.1515/gmj.2011.0011.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Chen, Songqing, Huoxiong Wu, and Qingying Xue. "A note on multilinear Muckenhoupt classes for multiple weights." Studia Mathematica 223, no. 1 (2014): 1–18. http://dx.doi.org/10.4064/sm223-1-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Aalto, Daniel, and Lauri Berkovits. "Asymptotical stability of Muckenhoupt weights through Gurov-Reshetnyak classes." Transactions of the American Mathematical Society 364, no. 12 (December 1, 2012): 6671–87. http://dx.doi.org/10.1090/s0002-9947-2012-05677-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Li, Kangwei, José María Martell, Henri Martikainen, Sheldy Ombrosi, and Emil Vuorinen. "End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications." Transactions of the American Mathematical Society 374, no. 1 (October 20, 2020): 97–135. http://dx.doi.org/10.1090/tran/8172.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Korenovskii, A. A. "Relation between the Gurov-Reshetnyak and the Muckenhoupt function classes." Sbornik: Mathematics 194, no. 6 (June 30, 2003): 919–26. http://dx.doi.org/10.1070/sm2003v194n06abeh000745.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Bilalov, Bilal T., and Sabina R. Sadigova. "Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes." Georgian Mathematical Journal 24, no. 3 (September 1, 2017): 325–38. http://dx.doi.org/10.1515/gmj-2016-0051.

Full text
Abstract:
AbstractA part of an exponential system with degenerate coefficients is considered. The frame properties (completeness, minimality, basicity, atomic decomposition) of this system in Hardy classes are studied in the case where the coefficients may not satisfy the Muckenhoupt condition.
APA, Harvard, Vancouver, ISO, and other styles
13

Bilalov, Bilal, Aysel Guliyeva, and Sabina Sadigova. "On Riemann problem in weighted Smirnov classes with general weight." Acta et Commentationes Universitatis Tartuensis de Mathematica 25, no. 1 (June 21, 2021): 33–56. http://dx.doi.org/10.12697/acutm.2021.25.03.

Full text
Abstract:
Weighted Smirnov classes in bounded and unbounded domains are defined in this work. Nonhomogeneous Riemann problems with a measurable coefficient whose argument is a piecewise continuous function are considered in these classes. A Muckenhoupt type condition is imposed on the weight function and the orthogonality condition is found for the solvability of nonhomogeneous problem in weighted Smirnov classes, and the formula for the index of the problem is derived. Some special cases with power type weight function are also considered,and conditions on degeneration order are found.
APA, Harvard, Vancouver, ISO, and other styles
14

Saker, S. H., and M. H. Hassan. "Weighted Gehring and Muckenhoupt classes and some inclusion properties with norm inequalities." Journal of Mathematics and Computer Science 24, no. 03 (February 27, 2021): 201–15. http://dx.doi.org/10.22436/jmcs.024.03.02.

Full text
APA, Harvard, Vancouver, ISO, and other styles
15

Nielsen, Morten, and Hrvoje Šikić. "Muckenhoupt Class Weight Decomposition and BMO Distance to Bounded Functions." Proceedings of the Edinburgh Mathematical Society 62, no. 4 (March 25, 2019): 1017–31. http://dx.doi.org/10.1017/s0013091519000038.

Full text
Abstract:
AbstractWe study the connection between the Muckenhoupt Ap weights and bounded mean oscillation (BMO) for general bases for ℝd. New classes of bases are introduced that allow for several deep results on the Muckenhoupt weights–BMO connection to hold in a very general form. The John–Nirenberg type inequality and its consequences are valid for the new class of Calderón–Zygmund bases which includes cubes in ℝd, but also the basis of rectangles in ℝd. Of particular interest to us is the Garnett–Jones theorem on the BMO distance, which is valid for cubes. We prove that the theorem is equivalent to the newly introduced A2-decomposition property of bases. Several sufficient conditions for the theorem to hold are analysed as well. However, the question whether the theorem fully holds for rectangles remains open.
APA, Harvard, Vancouver, ISO, and other styles
16

Urciuolo, Marta. "Weighted Inequalities for Integral Operators with Almost Homogeneous Kernels." Georgian Mathematical Journal 13, no. 1 (March 1, 2006): 183–91. http://dx.doi.org/10.1515/gmj.2006.183.

Full text
Abstract:
Abstract Let 𝑚 ∈ 𝑛 and 𝑎1, . . . , 𝑎𝑚 be real numbers such that for each 𝑖, 𝑎𝑖 ≠ 0 and 𝑎𝑖 ≠ 𝑎𝑗 if 𝑖 ≠ 𝑗. In this paper we study integral operators of the form 𝑇𝑓 (𝑥) = ∫ 𝑘1 (𝑥 – 𝑎1𝑦) . . . 𝑘𝑚 (𝑥 – 𝑎𝑚𝑦) 𝑓 (𝑦) 𝑑𝑦, with . If φ 𝑖,𝑗 satisfy certain uniform regularity conditions out of the origin, we obtain the boundedness of 𝑇 : 𝐿𝑝(𝑤) → 𝐿𝑝(𝑤) for all power weights 𝑤 in adequate Muckenhoupt classes.
APA, Harvard, Vancouver, ISO, and other styles
17

Beznosova, Oleksandra, and Alexander Reznikov. "Equivalent definitions of dyadic Muckenhoupt and reverse Hölder classes in terms of Carleson sequences, weak classes, and comparability of dyadic $L$ log $L$ and $A_\infty$ constants." Revista Matemática Iberoamericana 30, no. 4 (2014): 1191–236. http://dx.doi.org/10.4171/rmi/812.

Full text
APA, Harvard, Vancouver, ISO, and other styles
18

Anoop, T. V., Ujjal Das, and Abhishek Sarkar. "On the generalized Hardy-Rellich inequalities." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150, no. 2 (January 26, 2019): 897–919. http://dx.doi.org/10.1017/prm.2018.128.

Full text
Abstract:
AbstractIn this paper, we look for the weight functions (say g) that admit the following generalized Hardy-Rellich type inequality: $$\int_\Omega g (x)u^2 dx \les C\int_\Omega \vert \Delta u \vert ^2 dx,\quad \forall u\in {\rm {\cal D}}_0^{2,2} (\Omega ),$$for some constant C > 0, where Ω is an open set in ℝN with N ⩾ 1. We find various classes of such weight functions, depending on the dimension N and the geometry of Ω. Firstly, we use the Muckenhoupt condition for the one-dimensional weighted Hardy inequalities and a symmetrization inequality to obtain admissible weights in certain Lorentz-Zygmund spaces. Secondly, using the fundamental theorem of integration we obtain the weight functions in certain weighted Lebesgue spaces. As a consequence of our results, we obtain simple proofs for the embeddings of ${\cal D}_0^{2,2} $ into certain Lorentz-Zygmund spaces proved by Hansson and later by Brezis and Wainger.
APA, Harvard, Vancouver, ISO, and other styles
19

Shlyk, Vladimir. "Criteria of Removable Sets for Harmonic Functions in the Sobolev Spaces L1p,w." Mathematical Physics and Computer Simulation, no. 2 (June 2019): 51–64. http://dx.doi.org/10.15688/mpcm.jvolsu.2019.2.4.

Full text
Abstract:
Ahlfors and Beurling [16] proved that set 𝐸 is removable for class 𝐴𝐷2 of analytic functions with the finite Dirichlet integral if and only if 𝐸 does not change extremal distances. Their proof uses the conformal invariance of class 𝐴𝐷2, so it does not immediately generalize to 𝑝 ̸= 2 and to the relevant classes of harmonic functions in the space. In 1974 Hedberg [19] proposed new approaches to the problem of describing removable singularities in the function theory. In particular he gave the exact functional capacitive conditions for a set to be removable for class 𝐻𝐷𝑝(𝐺). Here 𝐻𝐷𝑝(𝐺) is the class of real-valued harmonic functions 𝑢 in a bounded open set 𝐺 ⊂ 𝑅𝑛, 𝑛 ≥ 2, and such that ∫︁ 𝐺 |∇𝑢|𝑝 𝑑𝑥 < ∞, 𝑝 > 1. In this paper we extend Hedberg’s results on class 𝐻𝐷𝑝,𝑤(𝐺) of harmonic functions 𝑢 in 𝐺 and such that ∫︁ 𝐺 |∇𝑢|𝑝 𝑤𝑑𝑥 < ∞. Here a locally integrable function 𝑤 : 𝑅𝑛 → (0,+∞) satisfies the Muckenhoupt condition [20] sup 1 |𝑄| ∫︁ 𝑄 𝑤𝑑𝑥 ⎛ ⎝ 1 |𝑄| ∫︁ 𝑄 𝑤1−𝑞𝑑𝑥 ⎞ ⎠ 𝑝−1 < ∞, where the supremum is taking over all coordinate cubes 𝑄 ⊂ 𝑅𝑛, 𝑞 ∈ (1,+∞) and 1 𝑝 + 1 𝑞 = 1; by ℒ𝑛(𝑄) = |𝑄| we denote the 𝑛-dimensional Lebesgue measure of 𝑄. We denote by 𝐿1 𝑞 , ˜ 𝑤(𝐺) the Sobolev space of locally integrable functions 𝐹 on 𝐺, whose generalized gradient in 𝐺 are such that ‖𝑓‖𝐿1 𝑞 , ˜ 𝑤(𝐺) = ⎛ ⎝ ∫︁ 𝐺 |∇𝑓|𝑞 ˜ 𝑤𝑑𝑥 ⎞ ⎠ 1 𝑞 < ∞, where ˜ 𝑤 = 𝑤1−𝑞. The closure of 𝐶∞ 0 (𝐺) in ‖ · ‖𝐿1 𝑞 , ˜ 𝑤(𝐺) is denoted by ∘L 1 𝑞, ˜ 𝑤(𝐺). For compact set 𝐾 ⊂ 𝐺 (𝑞, ˜ 𝑤)-capacity regarding 𝐺 is defined by 𝐶𝑞, ˜ 𝑤(𝐾) = inf 𝑣 ∫︁ 𝐺 |∇𝑣|𝑞 ˜ 𝑤𝑑𝑥, where the infimum is taken over all 𝑣 ∈ 𝐶∞ 0 (𝐺) such that 𝑣 = 1 in some neighbourhood of 𝐾. Note that 𝐶𝑞, ˜ 𝑤(𝐾) = 0 is independent from the choice of bounded set 𝐺 ⊂ 𝑅𝑛. We set 𝐶𝑞, ˜ 𝑤(𝐹) = 0 for arbitrary 𝐹 ⊂ 𝑅𝑛 if for every compact 𝐾 ⊂ 𝐹 there exists a bounded open set 𝐺 such that 𝐶𝑞, ˜ 𝑤(𝐾) = 0 regarding 𝐺. To conclude, we formulate the main results. Theorem 1. Compact 𝐸 ⊂ 𝐺 is removable for 𝐻𝐷𝑝,𝑤(𝐺) if and only if 𝐶∞ 0 (𝐺 ∖ 𝐸) is dense in ∘L 1 𝑞, ˜ 𝑤(𝐺). Theorem 2. Compact 𝐸 ⊂ 𝐺 is removable for 𝐻𝐷𝑝,𝑤(𝐺) if and only if 𝐶𝑞, ˜ 𝑤(𝐸) = 0. Corollary. The property of being removable for 𝐻𝐷𝑝,𝑤(𝐺) is local, i.e. compact 𝐸 ⊂ 𝐺 is removable if and only if every 𝑥 ∈ 𝐸 has a compact neighbourhood, whose intersection with 𝐺 is removable. Theorem 3. If 𝐺 is an open set in 𝑅𝑛 and 𝐶𝑞, ˜ 𝑤(𝑅𝑛 ∖𝐺) = 0. Then 𝐶∞ 0 (𝐺) is dense in ∘L 1 𝑞, ˜ 𝑤(𝑅𝑛).
APA, Harvard, Vancouver, ISO, and other styles
20

Saker, S. H., S. S. Rabie, Ghada AlNemer, and M. Zakarya. "On structure of discrete Muchenhoupt and discrete Gehring classes." Journal of Inequalities and Applications 2020, no. 1 (October 16, 2020). http://dx.doi.org/10.1186/s13660-020-02497-4.

Full text
Abstract:
Abstract In this paper, we study the structure of the discrete Muckenhoupt class $\mathcal{A}^{p}(\mathcal{C})$ A p ( C ) and the discrete Gehring class $\mathcal{G}^{q}(\mathcal{K})$ G q ( K ) . In particular, we prove that the self-improving property of the Muckenhoupt class holds, i.e., we prove that if $u\in \mathcal{A}^{p}(\mathcal{C})$ u ∈ A p ( C ) then there exists $q< p$ q < p such that $u\in \mathcal{A}^{q}(\mathcal{C}_{1})$ u ∈ A q ( C 1 ) . Next, we prove that the power rule also holds, i.e., we prove that if $u\in \mathcal{A}^{p}$ u ∈ A p then $u^{q}\in \mathcal{A}^{p}$ u q ∈ A p for some $q>1$ q > 1 . The relation between the Muckenhoupt class $\mathcal{A}^{1}(\mathcal{C})$ A 1 ( C ) and the Gehring class is also discussed. For illustrations, we give exact values of the norms of Muckenhoupt and Gehring classes for power-low sequences. The results are proved by some algebraic inequalities and some new inequalities designed and proved for this purpose.
APA, Harvard, Vancouver, ISO, and other styles
21

Saker, S. H., S. S. Rabie, Jehad Alzabut, D. O’Regan, and R. P. Agarwal. "Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes." Advances in Difference Equations 2021, no. 1 (January 2, 2021). http://dx.doi.org/10.1186/s13662-020-03105-x.

Full text
Abstract:
AbstractIn this paper, we prove some basic properties of the discrete Muckenhoupt class $\mathcal{A}^{p}$ A p and the discrete Gehring class $\mathcal{G}^{q}$ G q . These properties involve the self-improving properties and the fundamental transitions and inclusions relations between the two classes.
APA, Harvard, Vancouver, ISO, and other styles
22

Saker, S. H., J. Alzabut, D. O’Regan, and R. P. Agarwal. "Self-improving properties of weighted Gehring classes with applications to partial differential equations." Advances in Difference Equations 2021, no. 1 (August 26, 2021). http://dx.doi.org/10.1186/s13662-021-03552-0.

Full text
Abstract:
AbstractIn this paper, we prove that the self-improving property of the weighted Gehring class $G_{\lambda }^{p}$ G λ p with a weight λ holds in the non-homogeneous spaces. The results give sharp bounds of exponents and will be used to obtain the self-improving property of the Muckenhoupt class $A^{q}$ A q . By using the rearrangement (nonincreasing rearrangement) of the functions and applying the Jensen inequality, we show that the results cover the cases of non-monotonic functions. For applications, we prove a higher integrability theorem and report that the solutions of partial differential equations can be solved in an extended space by using the self-improving property. Our approach in this paper is different from the ones used before and is based on proving some new inequalities of Hardy type designed for this purpose.
APA, Harvard, Vancouver, ISO, and other styles
23

Chen, Li, José María Martell, and Cruz Prisuelos-Arribas. "The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces." Potential Analysis, September 23, 2021. http://dx.doi.org/10.1007/s11118-021-09945-w.

Full text
Abstract:
AbstractThis paper studies the regularity problem for block uniformly elliptic operators in divergence form with complex bounded measurable coefficients. We consider the case where the boundary data belongs to Lebesgue spaces with weights in the Muckenhoupt classes. Our results generalize those of S. Mayboroda (and those of P. Auscher and S. Stahlhut employing the first order method) who considered the unweighted case. To obtain our main results we use the weighted Hardy space theory associated with elliptic operators recently developed by the last two named authors. One of the novel contributions of this paper is the use of an “inhomogeneous” vertical square function which is shown to be controlled by the gradient of the function to which is applied in weighted Lebesgue spaces.
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography