A NOTE ON MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION

被引：32

作者：

Liu, Feng ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 104卷 / 03期

关键词：

Marcinkiewicz integral; rough kernel; surfaces of revolution; Triebel-Lizorkin space; Besov space; L-P BOUNDS; SINGULAR-INTEGRALS; ROUGH KERNELS; BOUNDEDNESS; OPERATORS; COMMUTATORS;

D O I：

10.1017/S1446788717000143

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the bounds of Marcinkiewicz integrals associated to surfaces of revolution generated by two polynomial mappings on Triebel-Lizorkin spaces and Besov spaces when their integral kernels are given by functions omega is an element of H-l(Sn-1) upsilon L(log(+) L)(1/2)(Sn-1). Our main results represent improvements as well as natural extensions of many previously known results.

引用

页码：380 / 402

页数：23

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