On variable Lebesgue spaces
By P. Nguyen. 2011
261 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/17605db094e806b54c53967862df5847f0e52dc5
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Citations in the corpus
- Intrinsic Square Function Characterizations of Hardy Spaces with Variable Exponents (2014, methodology): “These spaces were introduced by Birnbaum-Orlicz [3] and Orlicz [34], and widely used in the study of harmonic analysis as well as partial differential equations; see, for example, [1, 2, 6, 7, 8, 11, 12, 13, 14, 20, 30, 43, 48, 50].”
- Gradient estimates for elliptic equations with Lp(·)logL\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^{p(\cdot )}\ (2016, unknown): “We refer to [11,14] for more details about log-Hölder continuity and its application.”
- Variable weak Hardy spaces and their applications (2016, background): “For an exposition of these concepts, we refer the reader to the monographs [10, 13].”
- A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, methodology): “Variable exponent spaces are carefully treated in the monographs by Cruz-Uribe and Fiorenza [67] and Diening, Harjulehto, Hästö, and Ružička [74].”
- Variable Hardy–Lorentz spaces Hp(·),q(Rn) (2018, background): “We refer the reader to [14,44] for detailed proofs.”
- Characterizations of variable exponent Hardy spaces via Riesz transforms (2015, background): “As a generalization of classical Lebesgue spaces, variable exponent Lebesgue spaces were introduced by Orlicz [17] in 1931, however, they have been the subject of more intensive study since the early 1990s, because of their intrinsic interest for applications into harmonic analysis, partial differen”