The maximal operator on weighted variable Lebesgue spaces-Reference-Cited by-同舟云学术

The maximal operator on weighted variable Lebesgue spaces

Published:2011-06-29 Issue:3 Volume:14 Page:361-374
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Cruz-Uribe David¹,Diening Lars²,Hästö Peter³

Affiliation:

1. Department of Mathematics, Trinity College, 300 Summit St., Hartford, CT, 06106 - 3100, USA

2. Institute of Mathematics, LMU Munich, (Ludwig-Maximilians-Universität München), Theresienstr. 39, D - 80333, Munich, Germany

3. Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, FI - 90014, Oulu, Finland

Abstract

Abstract We study the boundedness of the maximal operator on the weighted variable exponent Lebesgue spaces L ωp(·) (Ω). For a given log-Hölder continuous exponent p with 1 < inf p ⩽ supp < ∞ we present a necessary and sufficient condition on the weight ω for the boundedness of M. This condition is a generalization of the classical Muckenhoupt condition.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-011-0023-7.pdf

Cited by 105 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fractional maximal operators on weighted variable Lebesgue spaces over the spaces of homogeneous type;Analysis and Mathematical Physics;2024-08

2. Weighted inequalities for Schrödinger type singular integrals on variable Lebesgue spaces;Tunisian Journal of Mathematics;2024-06-29

3. Pointwise Gradient Estimate of the Ritz Projection;SIAM Journal on Numerical Analysis;2024-05-21

4. Three weak solutions for a class of quasilinear choquard equations involving the fractional p(x, .)-Laplacian operator with weight;Boletim da Sociedade Paranaense de Matemática;2024-04-19

5. Generalized noncooperative Schrödinger–Kirchhoff–type systems in RN$\mathbb {R}^N$;Mathematische Nachrichten;2024-02-21