Results 11 to 20 of about 14,381 (242)
Inclusion Properties of Orlicz and Weak Orlicz Spaces
Journal of Mathematical and Fundamental Sciences, 2016 This paper discusses the structure of Orlicz spaces and weak Orlicz spaces on ℝn. We obtain some necessary and sufficient conditions for the inclusion property of these spaces.
Al Azhary Masta +2 more
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Isometries of Orlicz spaces [PDF]
Bulletin of the American Mathematical Society, 1962 G. Lumer
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Conjugate functions in Orlicz spaces [PDF]
Pacific Journal of Mathematics, 1963 Robert D. Ryan
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On fractional Orlicz–Sobolev spaces [PDF]
Analysis and Mathematical Physics, 2021 AbstractSome recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, and criteria for compact embeddings.
Angela Alberico +3 more
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Groups of isometries on Orlicz spaces [PDF]
Pacific Journal of Mathematics, 1973 1* Introduction* Let X be a real or complex Orlicz space of functions on an atomic measure space; an additional (not very restrictive) condition will be imposed on X which implies in particular that X Φ L°°. If X is a Hubert space, there are numerous strongly continuous one parameter groups of isometries on X, according to a classical theorem of M.
Jerome A. Goldstein
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Proceedings of the American Mathematical Society, 1981 A Banach space X is called flat if there exists a curve on the surface of the unit ball of X with antipodal endpoints and length two. Although one's initial (finite dimensional) reaction to this definition is to question the existence of such spaces, Harrell and Karlovitz ([1] and [2]) have shown that some of the classical Banach spaces are flat; in [2]
Mark A. Smith, A. J. Pach, B. Turett
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Weak compactness and Orlicz spaces [PDF]
Colloquium Mathematicum, 2008 We give new proofs that some Banach spaces have Pe czy ski's property $(V)$.
Lefèvre, Pascal +3 more
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Transference and restriction of Fourier multipliers on Orlicz spaces
Mathematische Nachrichten, Volume 296, Issue 12, Page 5400-5425, December 2023., 2023 Abstract Let G be a locally compact abelian group with Haar measure mG$m_G$ and Φ1,Φ2$\Phi _1,\,\Phi _2$ be Young functions. A bounded measurable function m on G is called a Fourier (Φ1,Φ2)$(\Phi _1,\,\Phi _2)$‐multiplier if Tm(f)(γ)=∫Gm(x)f̂(x)γ(x)dmG(x),$$\begin{equation*}\hskip7pc T_m (f)(\gamma )= \int _{G} m(x) \hat{f}(x) \gamma (x) dm_G(x),\hskip-
Oscar Blasco, Rüya Üster
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Uniform rotundity in every direction of Orlicz-Sobolev spaces
Journal of Inequalities and Applications, 2016 In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a ...
Fayun Cao, Rui Mao, Bing Wang
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Journal of Mathematical Analysis and Applications, 2008 AbstractIt is proved that ultrasymmetric reflexive Orlicz spaces can be described exactly as all those Orlicz spaces which can be written as some Lorentz spaces. This description is an answer to the problem posed by Pustylnik in [E. Pustylnik, Ultrasymmetric spaces, J. London Math. Soc. (2) 68 (1) (2003) 165–182].
Astashkin, Sergey, Maligranda, Lech
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