SINGULAR INTEGRAL OPERATORS WITH ROUGH KERNELS ON CENTRAL MORREY SPACES WITH VARIABLE EXPONENT

被引：21
作者：
Fu, Zunwei [1 ,2 ]
Lu, Shanzhen [3 ]
Wang, Hongbin [4 ,5 ]
Wang, Liguang [2 ]
机构：
[1] Univ Suwon, Dept Comp Sci, Hwaseong Si 445743, Gyeonggi Do, South Korea
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273100, Shandong, Peoples R China
[3] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[4] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Shandong, Peoples R China
[5] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2019年 / 44卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
lambda-central BMO spaces; central Morrey space; variable exponent; commutator; singular integral operator; WEIGHTED NORM INEQUALITIES; HARDY-SPACES; BOUNDEDNESS; COMMUTATORS; EQUATIONS;
D O I：
10.5186/aasfm.2019.4431
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we define the lambda-central BMO spaces and the central Morrey spaces with variable exponent. We obtain the boundedness of the singular integral operator T-Omega,T-alpha and its commutator [b, T-Omega,T-alpha] on central Morrey spaces with variable exponent, where Omega is an element of L-s (Sn-1) for s >= 1 be homogeneous function of degree zero, 0 <= alpha < n and b be lambda-central BMO functions. As applications, we consider the regularity in the central Morrey spaces with variable exponent of strong solutions to nondivergence elliptic equations with VMO coefficients.
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页码：505 / 522
页数：18
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