Regularity of maximal functions on Hardy-Sobolev spaces

被引：12

作者：

Perez, Carlos ^{[1
,2
]}

Picon, Tiago ^{[3
]}

Saari, Olli ^{[4
]}

Sousa, Mateus ^{[5
]}

机构：

[1] Univ Basque Country, UPV EHU, Dept Matemat, IKERBASQUE,Basque Fdn Sci, Bilbao, Spain

[2] BCAM, Bilbao, Spain

[3] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, Ave Bandeirantes 3900, BR-1404040 Ribeirao Preto, Brazil

[4] Univ Bonn, Inst Math, Endenicher Allee 60, D-53115 Bonn, Germany

[5] IMPA, BR-22460320 Rio De Janeiro, RJ, Brazil

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2018年 / 50卷 / 06期

基金：

芬兰科学院;

关键词：

SELF-IMPROVING PROPERTIES; INEQUALITIES; OPERATOR; VERSION;

D O I：

10.1112/blms.12195

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that maximal operators of convolution type associated to smooth kernels are bounded in the homogeneous Hardy-Sobolev spaces (H) over dot(1,p)(R-d) when p>d/(d+1). This range of exponents is sharp. As a by-product of the proof, we obtain similar results for the local Hardy-Sobolev spaces (h) over dot(1,p)(R-d) in the same range of exponents.

引用

页码：1007 / 1015

页数：9

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