Results 51 to 60 of about 4,655,315 (283)
Uniform estimates with data from generalized Lebesgue spaces in periodic structures
We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and ...
Yunsoo Jang
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The Daugavet property in the Musielak-Orlicz spaces
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
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AbstractRotund Orlicz spaces and Orlicz spaces that contain isomorphic copies of l∘ and co are characterized in the class of Orlicz spaces over measure spaces that are not purely atomic.
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The Hausdorff–Young inequality for Orlicz spaces on compact hypergroups
We prove the classical Hausdor -Young inequality for the Lebesgue spaces on a compact hypergroup using interpolation of sublinear operators. We use this result to prove the Hausdor -Young inequality for Orlicz spaces on a compact hypergroup.
Vishvesh Kumar, R. Sarma
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Orlicz spaces which are AM-spaces [PDF]
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Finol, C. E. +2 more
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The Orlicz spaces XΦ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X ...
R. del Campo +3 more
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Multipliers on noncommutative Orlicz spaces [PDF]
14 ...
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In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih +4 more
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Extreme Points and Rotundity in Musielak-Orlicz-Bochner Function Spaces Endowed with Orlicz Norm
The criteria for extreme point and rotundity of Musielak-Orlicz-Bochner function spaces equipped with Orlicz norm are given. Although criteria for extreme point of Musielak-Orlicz function spaces equipped with the Orlicz norm were known, we can easily ...
Shaoqiang Shang, Yunan Cui, Yongqiang Fu
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Approximative Compactness in Orlicz Spaces
Let \(M\) be a convex \(N\)-function and let \(\ell^M\) be the Orlicz sequence space with Luxemburg norm, \(L^M\) the Orlicz space with Luxemburg norm or with Orlicz norm of functions over a Lebesgue measurable set \(\Omega\subset \mathbb{R}\) of finite measure. It is proved that \(\ell^M\) is approximatively compact if and only if it is reflexive and \
Henryk Hudzik, Baoxiang Wang
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