Academic literature on the topic 'Orlicz spaces'

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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 (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
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Zhang Yingqin, Zhang Yingqin, Luo Ling Luo Ling та Yang Congli Yang Congli. "Weighted composition operators from α-Bloch spaces to Bers-Orlicz spaces". International Journal of Engineering and Science Invention 14, № 6 (2025): 61–70. https://doi.org/10.35629/6734-14066170.

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In this paper we use Youngs function to define the Bers-Orliicz space as a generalization of Bers space, a space consists of analytic functions. Moreover, the boundedness and compactness of the weighted composition operators from -Bloch space to Bers-Orlicz space on the unit open disk are characterized.
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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 (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–
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Ji, Dong, and Yunan Cui. "Monotonicities of Quasi-Normed Orlicz Spaces." Axioms 13, no. 10 (2024): 696. http://dx.doi.org/10.3390/axioms13100696.

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In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp(0<p<1). The Orlicz spaces LΦ are quasi-Banach spaces. Some basic properties in quasi-normed Orlicz spaces are discussed, and the criteria that a quasi-normed Orlicz space is strictly monotonic and lower (upper) locally uniformly monotonic are given.
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Hartmann, Andreas. "Pointwise multipliers in Hardy-Orlicz spaces, and interpolation." MATHEMATICA SCANDINAVICA 106, no. 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 expect
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Al-Ogaili, Khalidah, and Hawraa Almurieb. "Best Spline Approximation in Besov-Orlicz Space." International Journal of Mathematics and Computer Science 20, no. 1 (2024): 139–42. http://dx.doi.org/10.69793/ijmcs/01.2025/khalidah.

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Orlicz spaces have got the attention of many researchers over the decades. Many spaces have been defined in terms of Orlicz spaces, in particular Besov-Orlicz spaces. In this paper, we discuss this class of spaces with modulus of continuity. We study the best approximation of Besov-Orlicz spaces with splines and polynomials. The degree of best approximation depends on modulus of continuity.
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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 (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
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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 s
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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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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)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2014-11-25T14:39:40Z (GMT) 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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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. 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. M. Dekker, 1991.

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

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

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

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Kosmol, Peter. Optimization in function spaces with stability considerations in orlicz spaces. 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. 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. 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). 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. 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. Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc68-0-7.

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