Commutators of parameter Marcinkiwicz integral with functions in Campanato spaces on Orlicz-Morrey spaces

被引:4
作者
Yang, Heng [1 ]
Zhou, Jiang [1 ]
机构
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
基金
中国国家自然科学基金;
关键词
Orlicz-Morrey space; Campanato space; Parameter Marcinkiwicz integral; Commutator; L-P BOUNDS; MARCINKIEWICZ INTEGRALS; ROUGH KERNELS; HARDY-SPACES; OPERATORS; BOUNDEDNESS;
D O I
10.2298/FIL2321255Y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we consider the commutator M rho ohm,b generated by the locally integrable function bin generalized Campanato spaces and the parameter Marcinkiwicz integral with the rough kernel M rho ohm, where the rough kernel ohm satisfies certain log-type regularity.Meanwhile, a necessary and sufficient condition for the boundedness of the commutator on Orlicz-Morrey spaces is established.
引用
收藏
页码:7255 / 7273
页数:19
相关论文
共 50 条
[41]   A remark on two generalized Orlicz-Morrey spaces [J].
Gala, Sadek ;
Sawano, Yoshihiro ;
Tanaka, Hitoshi .
JOURNAL OF APPROXIMATION THEORY, 2015, 198 :1-9
[42]   Characterizations for the commutator of parabolic nonsingular integral operator on parabolic generalized Orlicz-Morrey spaces [J].
Omarova, M. N. .
TBILISI MATHEMATICAL JOURNAL, 2020, 13 (01) :97-111
[43]   An unification of Orlicz-Morrey spaces and its applications [J].
Ho, Kwok-Pun .
MANUSCRIPTA MATHEMATICA, 2023, 172 (3-4) :1201-1226
[44]   Boundedness of Commutators for Multilinear Marcinkiewicz Integrals with Generalized Campanato Functions on Generalized Morrey Spaces [J].
Ku, Fuli .
JOURNAL OF MATHEMATICAL STUDY, 2023, 56 (04) :411-437
[45]   RIESZ POTENTIALS AND SOBOLEV-TYPE INEQUALITIES IN ORLICZ-MORREY SPACES OF AN INTEGRAL FORM [J].
Ohno, Takao ;
Shimomura, Tetsu .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023, 73 (01) :263-276
[46]   WEIGHTED FRACTIONAL AND HARDY TYPE OPERATORS IN ORLICZ-MORREY SPACES [J].
Burtseva, Evgeniya .
COLLOQUIUM MATHEMATICUM, 2021, 165 (02) :253-268
[48]   Vanishing generalized Orlicz-Morrey spaces and fractional maximal operator [J].
Deringoz, Fatih ;
Guliyev, Vagif S. ;
Samko, Stefan .
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 90 (1-2) :125-147
[49]   COMMUTATORS OF CLASSICAL OPERATORS IN A NEW VANISHING ORLICZ-MORREY SPACE [J].
Deringoz, Fatih ;
Dorak, Kendal ;
Mislar, Farah .
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2023, 49 (01) :69-77
[50]   Commutators on Weighted Morrey Spaces on Spaces of Homogeneous Type [J].
Gong, Ruming ;
Li, Ji ;
Pozzi, Elodie ;
Vempati, Manasa N. .
ANALYSIS AND GEOMETRY IN METRIC SPACES, 2020, 8 (01) :305-334