Relevant bibliographies by topics / Orlicz spaces

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

Academic literature on the topic 'Orlicz spaces'

Author: Grafiati
Published: 4 June 2021
Last updated: 31 July 2024

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Journal articles on the topic "Orlicz spaces"

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Kustiawan, Cece, Al Azhary Masta, Dasep Dasep, Encum Sumiaty, Siti Fatimah, and Sofihara Al Hazmy. "GENERALIZED ORLICZ SEQUENCE SPACES." BAREKENG: Jurnal Ilmu Matematika dan Terapan 17, no. 1 (April 20, 2023): 0427–38. http://dx.doi.org/10.30598/barekengvol17iss1pp0427-0438.

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Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces. Some of the properties that apply to continuous Orlicz spaces are known, as are Orlicz sequence spaces. This study aims to construct new Orlicz sequence spaces by replacing a function in the Orlicz sequence spaces with a wider function. In addition, this study also aims to show that the properties of the Orlicz sequence spaces still apply to the new Orlicz sequence spaces under different conditions. The method in this research uses definitions and properties that apply to the Orlicz sequence spaces in the previous study and uses the -Young function in these new Orlicz sequence spaces. Furthermore, the results of the study show that the new Orlicz sequence spaces are an extension of the Orlicz sequence spaces in the previous study. And with the characteristics of the -Young function, it shows that the properties of the Orlicz sequence spaces still apply.
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Masta, Al Azhary, Siti Fatimah, and Muhammad Taqiyuddin. "Third Version of Weak Orlicz–Morrey Spaces and Its In-clusion Properties." Indonesian Journal of Science and Technology 4, no. 2 (July 9, 2019): 257–62. http://dx.doi.org/10.17509/ijost.v4i2.18182.

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Orlicz–Morrey spaces are generalizations of Orlicz spaces and Morrey spaces which were first introduced by Nakai. There are three versions of Orlicz–Morrey spaces. In this article, we discussed the third version of weak Orlicz–Morrey space, which is an enlargement of third version of (strong) Orlicz– Morrey space. Similar to its first version and second version, the third version of weak Orlicz-Morrey space is considered as a generalization of weak Orlicz spaces, weak Morrey spaces, and generalized weak Morrey spaces. This study investigated some properties of the third version of weak Orlicz–Morrey spaces, especially the sufficient and necessary conditions for inclusion relations between two these spaces. One of the keys to get our result is to estimate the quasi- norm of characteristics function of open balls in ℝ.
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Hartmann, Andreas. "Pointwise multipliers in Hardy-Orlicz spaces, and interpolation." MATHEMATICA SCANDINAVICA 106, no. 1 (March 1, 2010): 107. http://dx.doi.org/10.7146/math.scand.a-15128.

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We study multipliers of Hardy-Orlicz spaces ${\mathcal H}_{\Phi}$ which are strictly contained between $\bigcup_{p>0}H^p$ and so-called "big" Hardy-Orlicz spaces. Big Hardy-Orlicz spaces, carrying an algebraic structure, are equal to their multiplier algebra, whereas in classical Hardy spaces $H^p$, the multipliers reduce to $H^{\infty}$. For Hardy-Orlicz spaces ${\mathcal H}_{\Phi}$ between these two extremal situations and subject to some conditions, we exhibit multipliers that are in Hardy-Orlicz spaces the defining functions of which are related to $\Phi$. In general it cannot be expected to obtain a characterization of the multiplier algebra in terms of Hardy-Orlicz spaces since these are in general not algebras. Nevertheless, some examples show that we are not very far from such a characterization. In certain situations we see how the multiplier algebra grows in a sense from $H^{\infty}$ to big Hardy-Orlicz spaces when we go from classical $H^p$ spaces to big Hardy-Orlicz spaces. However, the multiplier algebras are not always ordered as their underlying Hardy-Orlicz spaces. Such an ordering holds in certain situations, but examples show that there are large Hardy-Orlicz spaces for which the multipliers reduce to $H^{\infty}$ so that the multipliers do in general not conserve the ordering of the underlying Hardy-Orlicz spaces. We apply some of the multiplier results to construct Hardy-Orlicz spaces close to $\bigcup_{p>0}H^p$ and for which the free interpolating sequences are no longer characterized by the Carleson condition which is well known to characterize free interpolating sequences in $H^p$, $p>0$.
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ZLATANOV, BOYAN. "Kottman’s constant, packing constant and Riesz angle in some classes of K ¨othe sequence spaces." Carpathian Journal of Mathematics 35, no. 1 (2019): 103–24. http://dx.doi.org/10.37193/cjm.2019.01.12.

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We have found a sufficient condition in order that the Kottman constant to be equal to the Riesz angle for Kothe ¨ sequence spaces. We have found the ball packing constant in weighted Orlicz sequence spaces, endowed with Luxemburg or p–Amemiya norm. We have calculated the Riesz angle for Musielak–Orlicz, Nakano, weighted Orlicz, Orlicz, Orlicz–Lorentz, Lorentz and Cesaro sequence spaces.
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Liu, Yanli, Yangyang Xue, and Yunan Cui. "Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces." Axioms 13, no. 4 (April 8, 2024): 243. http://dx.doi.org/10.3390/axioms13040243.

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Lower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm. The findings outlined in this study extend the scope of geometric characteristics observed in F-normed Orlicz spaces, as well as monotonicity properties within specific F-normed lattices. They are suitable for the Orlicz spaces of ordered continuous elements, specifically in relation to the Mazur–Orlicz F-norm. In addition, in this paper presents results that can be used to derive certain monotonicity properties in F-normed Musielak–Orlicz spaces.
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Bai, Xinran, Yunan Cui, and Joanna Kończak. "Monotonicities in Orlicz Spaces Equipped with Mazur-Orlicz F-Norm." Journal of Function Spaces 2020 (May 31, 2020): 1–7. http://dx.doi.org/10.1155/2020/8512636.

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Some basic properties in Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are studied in this paper. We give some relationships between the modulus and the Mazur-Orlicz F-norm. We obtain an interesting result that the norm of an element in line segments is formed by two elements on the unit sphere less than or equal to 1 if and only if that the monotone function is a convex function. The criterion that Orlicz spaces and Orlicz sequence spaces that are generated by monotone function equipped with the Mazur-Orlicz F-norm are strictly monotone or lower locally uniform monotone is presented.
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Shang, Shaoqiang, Yunan Cui, and Yongqiang Fu. "Nonsquareness in Musielak-Orlicz-Bochner Function Spaces." Abstract and Applied Analysis 2011 (2011): 1–16. http://dx.doi.org/10.1155/2011/361525.

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The criteria for nonsquareness in the classical Orlicz function spaces have been given already. However, because of the complication of Musielak-Orlicz-Bochner function spaces, at present the criteria for nonsquareness have not been discussed yet. In the paper, the criteria for nonsquareness of Musielak-Orlicz-Bochner function spaces are given. As a corollary, the criteria for nonsquareness of Musielak-Orlicz function spaces are given.
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Zhang, Yangyang, Dachun Yang, Wen Yuan, and Songbai Wang. "Real-variable characterizations of Orlicz-slice Hardy spaces." Analysis and Applications 17, no. 04 (June 10, 2019): 597–664. http://dx.doi.org/10.1142/s0219530518500318.

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In this paper, the authors first introduce a class of Orlicz-slice spaces which generalize the slice spaces recently studied by Auscher et al. Based on these Orlicz-slice spaces, the authors then introduce a new kind of Hardy-type spaces, the Orlicz-slice Hardy spaces, via the radial maximal functions. This new scale of Orlicz-slice Hardy spaces contains the variant of the Orlicz–Hardy space of Bonami and Feuto as well as the Hardy-amalgam space of de Paul Ablé and Feuto as special cases. Their characterizations via the atom, the molecule, various maximal functions, the Poisson integral and the Littlewood–Paley functions are also obtained. As an application of these characterizations, the authors establish their finite atomic characterizations, which further induce a description of their dual spaces and a criterion on the boundedness of sublinear operators from these Orlicz-slice Hardy spaces into a quasi-Banach space. Then, applying this criterion, the authors obtain the boundedness of [Formula: see text]-type Calderón–Zygmund operators on these Orlicz-slice Hardy spaces. All these results are new even for slice Hardy spaces and, moreover, for Hardy-amalgam spaces, the Littlewood–Paley function characterizations, the dual spaces and the boundedness of [Formula: see text]-type Calderón–Zygmund operators on these Hardy-type spaces are also new.
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Astashkin, Sergei V., and Lech Maligranda. "Ultrasymmetric Orlicz spaces." Journal of Mathematical Analysis and Applications 347, no. 1 (November 2008): 273–85. http://dx.doi.org/10.1016/j.jmaa.2008.05.065.

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Astashkin, S. V. "Binary Orlicz Spaces." Doklady Mathematics 106, no. 2 (November 2022): 315–17. http://dx.doi.org/10.1134/s1064562422050052.

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Dissertations / Theses on the topic "Orlicz spaces"

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Al-Rashed, Maryam Houmod Ali. "Noncommutative Orlicz spaces." Thesis, Imperial College London, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.434998.

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Cazacu, Constantin Dan. "Twisted sums of Orlicz spaces /." free to MU campus, to others for purchase, 1998. http://wwwlib.umi.com/cr/mo/fullcit?p9901223.

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Szab?o, L?aszl?o. "On ergodic and Martingale theorems in Orlicz spaces /." The Ohio State University, 1990. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487683756124057.

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Doto, James William. "Conditional uniform convexity in Orlicz spaces and minimization problems." Thesis, Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/27352.

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El-Mabrouk, Khalifa. "Semilinear perturbations of harmonic spaces and Martin-Orlicz capacities an approach to the trace of moderate U-functions /." [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=964456435.

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Lai, Wei-Kai. "The radon-nikodym property for the Wittstock and Fremlin tensor products of orlicz sequence spaces and banach lattices /." Full text available from ProQuest UM Digital Dissertations, 2008. http://0-proquest.umi.com.umiss.lib.olemiss.edu/pqdweb?index=0&did=1850496461&SrchMode=1&sid=1&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1277325845&clientId=22256.

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Capolli, Marco. "Selected Topics in Analysis in Metric Measure Spaces." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/288526.

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The thesis is composed by three sections, each devoted to the study of a specific problem in the setting of PI spaces. The problem analyzed are: a C^m Lusin approximation result for horizontal curves in the Heisenberg group, a limit result in the spirit of Burgain-Brezis-Mironescu for Orlicz-Sobolev spaces in Carnot groups and the differentiability of Lipschitz functions in Laakso spaces.
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Capolli, Marco. "Selected Topics in Analysis in Metric Measure Spaces." Doctoral thesis, Università degli studi di Trento, 2021. http://hdl.handle.net/11572/288526.

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The thesis is composed by three sections, each devoted to the study of a specific problem in the setting of PI spaces. The problem analyzed are: a C^m Lusin approximation result for horizontal curves in the Heisenberg group, a limit result in the spirit of Burgain-Brezis-Mironescu for Orlicz-Sobolev spaces in Carnot groups and the differentiability of Lipschitz functions in Laakso spaces.
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Carvalho, Marcos Leandro Mendes. "Equações diferenciais parciais elípticas multivalentes: crescimento crítico, métodos variacionais." Universidade Federal de Goiás, 2013. http://repositorio.bc.ufg.br/tede/handle/tede/3686.

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Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2014-11-25T14:36:31Z No. of bitstreams: 2 Tese - Marcos Leandro Mendes Carvalho - 2013.pdf: 2450216 bytes, checksum: 78d3d3298d2050e0e82310644ecda305 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
In this work we develop arguments on the critical point theory for locally Lipschitz functionals on Orlicz-Sobolev spaces, along with convexity, minimization and compactness techniques to investigate existence of solution of the multivalued equation −∆Φu ∈ ∂ j(.,u) +λh in Ω, where Ω ⊂ RN is a bounded domain with boundary smooth ∂Ω, Φ : R → [0,∞) is a suitable N-function, ∆Φ is the corresponding Φ−Laplacian, λ > 0 is a parameter, h : Ω → R is a measurable and ∂ j(.,u) is a Clarke’s Generalized Gradient of a function u %→ j(x,u), a.e. x ∈ Ω, associated with critical growth. Regularity of the solutions is investigated, as well.
Neste trabalho desenvolvemos argumentos sobre a teoria de pontos críticos para funcionais Localmente Lipschitz em Espaços de Orlicz-Sobolev, juntamente com técnicas de convexidade, minimização e compacidade para investigar a existencia de solução da equação multivalente −∆Φu ∈ ∂ j(.,u) +λh em Ω, onde Ω ⊂ RN é um domínio limitado com fronteira ∂Ω regular, Φ : R → [0,∞) é uma N-função apropriada, ∆Φ é o correspondente Φ−Laplaciano, λ > 0 é um parâmetro, h : Ω → R é uma função mensurável e ∂ j(.,u) é o gradiente generalizado de Clarke da função u %→ j(x,u), q.t.p. x ∈ Ω, associada com o crescimento crítico. A regularidade de solução também será investigada.
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Kumar, Vishvesh. "Harmonic analysis on Orlicz spaces for certain hypergroups and on discrete hypergroups arising from semigroups with emphasis on Ramsey theory." Thesis, IIT Delhi, 2019. http://eprint.iitd.ac.in:80//handle/2074/8075.

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Books on the topic "Orlicz spaces"

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Harjulehto, Petteri, and Peter Hästö. Orlicz Spaces and Generalized Orlicz Spaces. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15100-3.

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1941-, Ren Z. D., ed. Theory of Orlicz spaces. New York: M. Dekker, 1991.

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Maligranda, Lech. Orlicz spaces and interpolation. Campinas, SP, Brasil: Departamento de Matemática, Universidade Estadual de Campinas, 1989.

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1941-, Ren Z. D., ed. Applications of Orlicz spaces. New York: Marcel Dekker, 2002.

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1950-, Krbec Miroslav, ed. Weighted inequalities in Lorentz and Orlicz spaces. Singapore: World Scientific, 1991.

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Kosmol, Peter. Optimization in function spaces with stability considerations in orlicz spaces. Berlin: De Gruyter, 2010.

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Chlebicka, Iwona, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, and Aneta Wróblewska-Kamińska. Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-88856-5.

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Yang, Dachun, Yiyu Liang, and Luong Dang Ky. Real-Variable Theory of Musielak-Orlicz Hardy Spaces. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-54361-1.

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Pelczynski, Aleksander, and Leszek Skrzypczak. Orlicz centenary: Proceedings of the conferences: The Wladyslaw Orlicz Centenary Conference and Function Spaces VII, Poznan, 20-25 July 2003. Edited by Polska Akademia Nauk and Wladyslaw Orlicz Centenary Conference and Function Spaces VII (2003 : Poznań, Poland). Warszawa: Institute of Mathematics, Polish Academy of Sciences, 2004.

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Władysław Orlicz Centenary Conference (2003 Poznań, Poland). Orlicz centenary volume: Proceedings of the conferences: The Władysław Orlicz Centenary Conference and Function Spaces VII, Poznan, 20-25 July 2003. Warszawa: Institute of Mathematics, Polish Academy of Sciences, 2004.

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Book chapters on the topic "Orlicz spaces"

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Harjulehto, Petteri, and Peter Hästö. "Generalized Orlicz Spaces." In Lecture Notes in Mathematics, 47–78. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-15100-3_3.

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Rubshtein, Ben-Zion A., Genady Ya Grabarnik, Mustafa A. Muratov, and Yulia S. Pashkova. "Separable Orlicz Spaces." In Foundations of Symmetric Spaces of Measurable Functions, 183–93. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42758-4_14.

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Chlebicka, Iwona, Piotr Gwiazda, Agnieszka Åšwierczewska-Gwiazda, and Aneta Wróblewska-KamiÅ„ska. "Musielak–Orlicz Spaces." In Springer Monographs in Mathematics, 47–111. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-88856-5_3.

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Lindenstrauss, Joram, and Lior Tzafriri. "Orlicz Sequence Spaces." In Classical Banach Spaces I, 137–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-540-37732-0_4.

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Sawano, Yoshihiro, Giuseppe Di Fazio, and Denny Ivanal Hakim. "Generalized Orlicz—Morrey spaces." In Morrey Spaces, 73–101. First edition. | Boca Raton : C&H/CRC Press, 2020. | Series: Chapman & Hall/CRC monographs and research notes in mathematics: Chapman and Hall/CRC, 2020. http://dx.doi.org/10.1201/9781003029076-13.

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Yang, Dachun, Yiyu Liang, and Luong Dang Ky. "Musielak-Orlicz Hardy Spaces." In Lecture Notes in Mathematics, 1–57. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-54361-1_1.

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Yang, Dachun, Yiyu Liang, and Luong Dang Ky. "Musielak-Orlicz Campanato Spaces." In Lecture Notes in Mathematics, 145–66. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-54361-1_5.

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Rubshtein, Ben-Zion A., Genady Ya Grabarnik, Mustafa A. Muratov, and Yulia S. Pashkova. "Duality for Orlicz Spaces." In Foundations of Symmetric Spaces of Measurable Functions, 195–205. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42758-4_15.

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Rubshtein, Ben-Zion A., Genady Ya Grabarnik, Mustafa A. Muratov, and Yulia S. Pashkova. "Comparison of Orlicz Spaces." In Foundations of Symmetric Spaces of Measurable Functions, 207–16. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42758-4_16.

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Kazhikhov, Alexandre V., and Alexandre E. Mamontov. "Transport Equations and Orlicz Spaces." In Hyperbolic Problems: Theory, Numerics, Applications, 535–44. Basel: Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8724-3_4.

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Conference papers on the topic "Orlicz spaces"

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Fatimah, Siti, Rian Dermawan, Sofihara Al Hazmy, and Al Azhary Masta. "Generalized orlicz spaces." In INTERNATIONAL SEMINAR ON MATHEMATICS, SCIENCE, AND COMPUTER SCIENCE EDUCATION (MSCEIS) 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0155343.

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Domański, Paweł. "Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives." In Orlicz Centenary Volume. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc64-0-5.

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Hernández, Francisco L. "Lattice structures in Orlicz spaces." In Orlicz Centenary Volume. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc64-0-6.

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Urbanik, K. "Musielak-Orlicz spaces and prediction problems." In Orlicz Centenary Volume. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc64-0-16.

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Nowak, Marian. "Order-bounded operators from vector-valued function spaces to Banach spaces." In Orlicz Centenary Volume II. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc68-0-13.

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Kubzdela, Albert. "Non-Archimedean K-spaces." In Orlicz Centenary Volume II. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc68-0-10.

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Triebel, Hans. "A note on wavelet bases in function spaces." In Orlicz Centenary Volume. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2004. http://dx.doi.org/10.4064/bc64-0-15.

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LABUSCHAGNE, L. E., and W. A. MAJEWSKI. "QUANTUM Lp AND ORLICZ SPACES." In Proceedings of the 28th Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812835277_0014.

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Tzschichholtz, I., and M. R. Weber. "Generalized M-norms on ordered normed spaces." In Orlicz Centenary Volume II. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc68-0-14.

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Hudzik, Henryk, Ryszard Płuciennik, and Yuwen Wang. "A generalized projection decomposition in Orlicz-Bochner spaces." In Orlicz Centenary Volume II. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc68-0-7.

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