A characterization for fractional integral and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type

被引：0
作者：
Vagif S. Guliyev
Fatih Deringoz
机构：
[1] RUDN University,S.M. Nikolskii Institute of Mathematics
[2] Dumlupinar University,Department of Mathematics
[3] Institute of Mathematics and Mechanics,Department of Mathematics
[4] Ahi Evran University,undefined
来源：
Analysis and Mathematical Physics | 2019年 / 9卷
关键词：
Orlicz space; Generalized Orlicz–Morrey space; Maximal operator; Fractional integral; Commutator; Spaces of homogeneous type; 42B20; 42B25; 42B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz–Morrey spaces on the spaces of homogeneous type. As an application of this boundedness, we give necessary and sufficient condition for the boundedness of fractional integral and its commutators in these spaces. We also discuss criteria for the boundedness of these operators in Orlicz spaces.
引用
收藏
页码：1991 / 2019
页数：28
相关论文
共 67 条
[1]  
Adams DR(1975)A note on Riesz potentials Duke Math. J. 42 765-778
[2]  
Birnbaum Z(1931)Über die verallgemeinerung des begriffes der zueinan-der konjugierten potenzen Studia Math. 3 1-67
[3]  
Orlicz W(1965)Commutators of singular integral operators Proc. Natl. Acad. Sci. USA 53 1092-1099
[4]  
Calderón AP(1982)A note on commutators Indiana Univ. Math. J. 31 7-16
[5]  
Chanillo S(1987)Morrey spaces and Hardy–Littlewood maximal function Rend. Math. Appl. 7 273-279
[6]  
Chiarenza F(1999)Strong and weak type inequalities for some classical operators in Orlicz spaces J. Lond. Math. Soc. 60 187-202
[7]  
Frasca M(1977)Extensions of Hardy spaces and their use in analysis Bull. Am. Math. Soc. 831 569-645
[8]  
Cianchi A(1976)Factorization theorems for Hardy spaces in several variables Ann. Math. (2) 103 611-635
[9]  
Coifman RR(1993)Compensated compactness and Hardy spaces J. Math. Pures Appl. 72 247-286
[10]  
Weiss G(2014)Boundedness of maximal and singular operators on generalized Orlicz–Morrey spaces Oper Theory Oper Algebras Appl Ser Oper Theory Adv Appl 242 1-24
1234567