WEIGHTED ESTIMATES FOR GENERALIZED RIESZ POTENTIALS

被引：0

作者：

Rocha, Pablo ^{[1
]}

机构：

[1] Univ Nacl Del Sur, Dept Matemat, Bahia Blanca, Argentina

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 02期

关键词：

and phrases; weighted hardy spaces; atomic decomposition; fractional operators; INTEGRAL-OPERATORS; MOLECULAR CHARACTERIZATION; FRACTIONAL INTEGRALS; NORM INEQUALITIES; HARDY; BOUNDEDNESS;

D O I：

10.1216/rmj.2023.53.549

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For 0 & LE; & alpha; <n, 0 <p & LE;1 and q 1 = p1 -& alpha;n, we obtain the boundedness from Hwp(Rn) into Lqwq/p(Rn)of certain generalized Riesz potentials for certain weights w. This result is achieved via the infinite atomic decomposition we previously developed (Rev. Un. Mat. Argentina 61:2 (2020), 229-247).

引用

页码：549 / 559

页数：11

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