ON THE TRIEBEL-LIZORKIN SPACE BOUNDEDNESS OF MARCINKIEWICZ INTEGRALS ALONG COMPOUND SURFACES

被引：30
|
作者：
Liu, Feng [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong 266590, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 02期
关键词：
Marcinkiewicz integrals; rough kernels; compound surfaces; Triebel-Lizorkin spaces; Besov spaces; L-P-BOUNDEDNESS; BOUNDS;
D O I：
10.7153/mia-20-35
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the author present the boundedness of Marcinkiewicz integral operators associated to compound surfaces with rough kernels given by h epsilon triangle(gamma)(R+) and Omega epsilon L(log(+)L)(1/2)(Sn-1)boolean OR(boolean OR B-1<r<infinity(r)0,-1/2 (Sn-1)) on Triebel- Lizorkin spaces and Besov spaces. The main results of this paper represent improvements as well as natural extensions of many previously known results.
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页码：515 / 535
页数：21
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