Commutators of Marcinkiewicz integrals on Herz spaces with variable exponent

被引：15
|
作者：
Wang, Hongbin [1 ]
机构：
[1] Shandong Univ Technol, Sch Sci, 266 Xincunxi Rd, Zibo 255000, Shandong, Peoples R China
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2016年 / 66卷 / 01期
关键词：
Herz space; variable exponent; commutator; Marcinkiewicz integral; BOUNDEDNESS; OPERATORS;
D O I：
10.1007/s10587-016-0254-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Omega a L (s) (S (n-1)) for s a (c) 3/4 1 be a homogeneous function of degree zero and b a BMO function. The commutator generated by the Marcinkiewicz integral and b is defined by In this paper, the author proves the (L (p(center dot))(a"e (n) ),L (p(center dot))(a"e (n) ))-boundedness of the Marcinkiewicz integral operator and its commutator [b, ] when p(center dot) satisfies some conditions. Moreover, the author obtains the corresponding result about and [b, ] on Herz spaces with variable exponent.
引用
收藏
页码：251 / 269
页数：19
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