BOUNDEDNESS OF GENERALIZED RIESZ POTENTIALS ON THE VARIABLE HARDY SPACES

被引：4
|
作者：
Rocha, Pablo [1 ]
机构：
[1] Univ Nacl Sur, CONICET, INMABB, RA-8000 Bahia Blanca, Buenos Aires, Argentina
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 104卷 / 02期
关键词：
variable Hardy spaces; fractional operators; EXPONENTS;
D O I：
10.1017/S1446788717000131
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the boundedness from H-p(center dot)(R-n) into L-q(center dot)(R-n) of certain generalized Riesz potentials and the boundedness from H-p(center dot)(R-n) into H-q(center dot)(R-n) of the Riesz potential, both results are achieved via the finite atomic decomposition developed in Cruz-Uribe and Wang ['Variable Hardy spaces', Indiana University Mathematics Journal 63(2) (2014), 447-493].
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页码：255 / 273
页数：19
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