Rough maximal functions supported by subvarieties on Triebel-Lizorkin spaces

被引：20
|
作者：
Liu, Feng [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2018年 / 112卷 / 02期
关键词：
Singular integral; Parametric Marcinkiewicz integral; Maximal function; Triebel-Lizorkin space; Besov space; SINGULAR INTEGRAL-OPERATORS; MARCINKIEWICZ INTEGRALS; KERNELS; BOUNDEDNESS; SUBMANIFOLDS;
D O I：
10.1007/s13398-017-0400-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish the boundedness of a class of maximal functions related to rough singular integrals supported by compound subvarieties on Triebel-Lizorkin spaces and Besov spaces. As applications, several corresponding estimates of maximal functions related to parametric Marcinkiewicz integrals are also presented.
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页码：593 / 614
页数：22
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