CALDERON-HARDY SPACES WITH VARIABLE EXPONENTS AND THE SOLUTION OF THE EQUATION ΔmF = f FOR f ∈Hp(•)(Rn)

被引：3

作者：

Rocha, Pablo ^{[1
]}

机构：

[1] Univ Nacl Sur, INMABB, CONICET, RA-8000 Bahia Blanca, Buenos Aires, Argentina

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2016年 / 19卷 / 03期

关键词：

Variable Calderon-Hardy spaces; variable Hardy spaces; atomic decomposition; FRACTIONAL INTEGRALS; OPERATORS;

D O I：

10.7153/mia-19-75

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we define the Calderon-Hardy spaces with variable exponents on R-n, H-q,gamma(p(center dot)) (R-n), and we show that for m is an element of N the operator Delta(m) is a bijective mapping from H-q,2m(p(center dot)) (R-n) onto H-p(center dot)(R-n).

引用

页码：1013 / 1030

页数：18

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