INEQUALITIES FOR WEIGHTED SPACES WITH VARIABLE EXPONENTS

被引：1

作者：

Rocha, Pablo ^{[1
]}

机构：

[1] Univ Nac Sur, Dept Matemat, RA-8000 Bahia Blanca, Buenos Aires, Argentina

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2023年 / 26卷 / 02期

关键词：

Fefferman-Stein inequalities; weighted variable Hardy spaces; atomic decom-position; Riesz potential; HARDY-SPACES; MOLECULAR CHARACTERIZATION; FRACTIONAL INTEGRALS; NORM INEQUALITIES; MAXIMAL OPERATOR;

D O I：

10.7153/mia-2023-26-33

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we obtain an "off-diagonal" version of the Fefferman-Stein vector -valued maximal inequality on weighted Lebesgue spaces with variable exponents. As an ap-plication of this result and the atomic decomposition developed in [16] we prove, for certain ex-ponents q(center dot) in Plog(Rn) and certain weights omega, that the Riesz potential I alpha , with 0 < alpha < n, can be extended to a bounded operator from Hp(center dot) omega (Rn) into Lq(center dot) omega (Rn) , for 1 p(center dot) := q(center dot)1 +n alpha.

引用

页码：511 / 530

页数：20

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