SOME MODULAR INEQUALITIES IN LEBESGUE SPACES WITH A VARIABLE EXPONENT

被引：0

作者：

Izuki, Mitsuo ^{[1
]}

Noi, Takahiro ^{[2
]}

Sawano, Yoshihiro ^{[3
]}

机构：

[1] Tokyo City Univ, Fac Liberal Arts & Sci, Setagaya Ku, 1-28-1 Tamadutsumi, Tokyo 1588557, Japan

[2] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, Japan

[3] Chuo Univ, Dept Math, Bunkyo Ku, Tokyo 1128551, Japan

来源：

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE | 2020年 / 174卷 / 03期

关键词：

Variable exponent; Modular inequality; Lebesgue space; MAXIMAL-FUNCTION; OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our aim is to study the modular inequalities for some operators, for example, the Bergman projection in Lebesgue spaces with a variable exponent. Under proper assumptions on the variable exponent, we prove that the modular inequalities hold, if and only if the exponent almost everywhere is equal to a constant. In order to get the main results, we establish a lower pointwise bound for these operators of a characteristic function.

引用

页码：343 / 349

页数：7

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