Sublinear operators with rough kernel generated by Calderón–Zygmund operators and their commutators on generalized Morrey spaces

被引：0
作者：
F. Gürbüz
机构：
[1] Ankara University,Department of Mathematics
来源：
Mathematical Notes | 2017年 / 101卷
关键词：
sublinear operator; Calderón–Zygmund operator; rough kernel; generalized Morrey space; commutator; BMO;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to establish the boundedness of certain sublinear operators with rough kernel generated by Calderón–Zygmund operators and their commutators on generalized Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis. The Marcinkiewicz operator which satisfies the conditions of these theorems can be considered as an example.
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页码：429 / 442
页数：13
相关论文
共 55 条
[1]  
Adams D. R.(1975)A note on Riesz potentials Duke Math. J. 42 765-778
[2]  
Caffarelli L.(1990)Elliptic second order equations Rend. Semin.Math. Fis. Milano 58 253-284
[3]  
Chiarenza F.(1987)Morrey spaces and Hardy–Littlewood maximal function Rend. Mat. 7 273-279
[4]  
Frasca M.(1991)Interior W Ricerche Mat. 40 149-168
[5]  
Chiarenza F.(1993)-estimates for nondivergence elliptic equations with discontinuous coefficients Trans. Amer.Math. Soc. 336 841-853
[6]  
Frasca M.(1976)W Ann. ofMath. 103 611-636
[7]  
Longo P.(1998)-solvability of Dirichlet problem for nondivergence elliptic equations with VMO coefficients Yokohama Math. J. 46 15-27
[8]  
Chiarenza F.(1993)Factorization theorems for Hardy spaces in several variables J. Funct. Anal. 112 241-256
[9]  
Frasca M.(1999)Boundedness of sublinear operators and commutators on J. Funct. Anal. 166 179-196
[10]  
Longo P.(2011), (R Integ. Equ. Oper. Theory. 71 327-3555
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