The one-sided Ap conditions and local maximal operator

Author:

Bernardis Ana L.,Gogatishvili Amiran,Martín-Reyes Francisco Javier,Salvador Pedro Ortega,Pick Luboš

Abstract

AbstractWe introduce the one-sided local maximal operator and study its connection to the one-sided Ap conditions. We get a new characterization of the boundedness of the one-sided maximal operator on a quasi-Banach function space. We obtain applications to weighted Lebesgue spaces and variable-exponent Lebesgue spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

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1. Criteria of a Four-Weight Weak Type Inequality for One-Sided Maximal Operators in Orlicz Classes;Mediterranean Journal of Mathematics;2024-03

2. Variable Lebesgue Spaces;APPL NUMER HARMON AN;2013

3. The Hardy-Littlewood Maximal Operator;Variable Lebesgue Spaces;2012-11-20

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