Fractional maximal operator in Orlicz spaces

被引：11

作者：

Musil, Vit ^{[1
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague 18675 8, Czech Republic

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 474卷 / 01期

关键词：

Fractional maximal operator; Orlicz spaces; Reduction theorem; Optimality; SOBOLEV EMBEDDINGS; INEQUALITIES;

D O I：

10.1016/j.jmaa.2019.01.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work studies the fractional maximal operator acting between Orlicz spaces. The necessary and sufficient conditions for the existence of optimal target and domain spaces are established and the explicit formulas for corresponding optimal Young functions are presented. Also, we characterize whether the operator is bounded between two given Orlicz spaces. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：94 / 115

页数：22

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