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An inequality for functions with derivatives in an Orlicz space [PDF]
Proceedings of the American Mathematical Society, 1964 function p(v) defined for v > 0, continuous from the right, satisfying conditions p(0) =0, p(v)-- oo (v-- coo) and such that M(u) =fiuIp(v) dv for all u. Writing q(u) =sup { v: p(v) 0 for which p(v) ? e. Moreover, the Young's inequality uv ? M(u) +N(v) holds for all u and v (see [1, ??1-2]).
Bojanic, R., Musielak, J.
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Compact Operators Under Orlicz Function
Indian Journal of Pure and Applied Mathematics, 2020 14pages
Ma, Zhenhua, Kui, Ji, Li, Yucheng
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Universal classes of Orlicz function spaces [PDF]
Pacific Journal of Mathematics, 1992 It is proved that for each ...
Hernández, Francisco L., Ruiz, César
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Atomic and Wavelet Characterization of Musielak–Orlicz Hardy Spaces for Generalized Orlicz Functions [PDF]
Integral Equations and Operator Theory, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitsuo Izuki +2 more
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Smooth functions in Orlicz function spaces [PDF]
Archiv der Mathematik, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gonzalo, Raquel, Maleev, Rumen P.
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Проблемы анализа, 2023 Let (𝒳 , 𝑑, 𝜇) be a space of homogeneous type, in the sense of Coifman and Weiss, and 𝜙 : 𝒳 x [0,\infty) -> [0, \infty) satisfy that, for almost every 𝑥 \in 𝒳, 𝜙(𝑥,.) is an Orlicz function and that 𝜙(., 𝑡) is a Muckenhoupt weight uniformly in 𝑡 \in [0 ...
X. Yan
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Matuszewska–Orlicz indices of the Sobolev conjugate Young function
Partial Differential Equations in Applied Mathematics, 2021 In this note we study the Matuszewska–Orlicz indices of Young and φ-functions and their conjugates. It is known, for example, that the index at zero of the inverse of a φ-function corresponds to the reciprocal of the index at infinity of the φ-function ...
Waldo Arriagada
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The Strongly Extreme Points in the Musielak-Orlicz Space Endowed With p-Amemiya Norm
Journal of Harbin University of Science and Technology, 2018 In order to study some geometric properties of MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
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Amemiya norm equals Orlicz norm in general [PDF]
, 2000 summary:This paper is an extension of the work done in [Morsli M., Bedouhene F., Boulahia F., Duality properties and Riesz representation theorem in the Besicovitch-Orlicz space of almost periodic functions, Comment. Math. Univ. Carolin. 43 (2002), no. 1,
Daoui, A. +6 more
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K-uniform convexity in Orlicz-Lorentz function space equipped with the Orlicz norm
Indian Journal of Pure and Applied Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Wang, Yunan Cui
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