Weighted Morrey spaces and a singular integral operator

2009 ◽  
Vol 282 (2) ◽  
pp. 219-231 ◽  
Author(s):  
Yasuo Komori ◽  
Satoru Shirai
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Morrey Spaces ◽  
Weighted Morrey Spaces

scholarly journals Precompact Sets, Boundedness, and Compactness of Commutators for Singular Integrals in Variable Morrey Spaces

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Wei Wang ◽  
Jingshi Xu
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Singular Integrals ◽  
Sufficient Conditions ◽  
Morrey Spaces ◽  
Bmo Function

We give sufficient conditions for subsets to be precompact sets in variable Morrey spaces. Then we obtain the boundedness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces. Finally, we discuss the compactness of the commutator generated by a singular integral operator and a BMO function on the variable Morrey spaces.

Compactness of Commutators for Singular Integrals on Morrey Spaces

2012 ◽  
Vol 64 (2) ◽  
pp. 257-281 ◽  
Author(s):  
Yanping Chen ◽  
Yong Ding ◽  
Xinxia Wang
Keyword(s):  
Integral Operator ◽  
Compact Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Morrey Space ◽  
Singular Integrals ◽  
Morrey Spaces ◽  
Compact Set ◽  
Sufficient Condition

AbstractIn this paper we characterize the compactness of the commutator [b, T] for the singular integral operator on the Morrey spaces . More precisely, we prove that if , the -closure of , then [b, T] is a compact operator on the Morrey spaces for ∞ < p < ∞ and 0 < ⋋ < n. Conversely, if and [b, T] is a compact operator on the for some p (1 < p < ∞), then . Moreover, the boundedness of a rough singular integral operator T and its commutator [b, T] on are also given. We obtain a sufficient condition for a subset in Morrey space to be a strongly pre-compact set, which has interest in its own right.

scholarly journals Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Javanshir J. Hasanov
Keyword(s):  
Integral Operator ◽  
Harmonic Analysis ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Maximal Operator ◽  
Morrey Spaces ◽  
Singular Operators ◽  
Littlewood Maximal Operator

We study the boundedness ofΦ-admissible sublinear singular operators on Orlicz-Morrey spacesMΦ,φℝn. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator and Calderón-Zygmund singular integral operator.

On the Commutators of Singular Integral Operators with Rough Convolution Kernels

2016 ◽  
Vol 68 (4) ◽  
pp. 816-840
Author(s):  
Xiaoli Guo ◽  
Guoen Hu
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Maximal Operator ◽  
Integral Operators ◽  
Mean Value ◽  
Morrey Spaces ◽  
Singular Integral Operators ◽  
Degree Zero ◽  
Convolution Kernels

AbstractLet TΩ be the singular integral operator with kernel , where Ω is homogeneous of degree zero, has mean value zero, and belongs to Lq(Sn–1) for some q ∊ (1,∞). In this paper, the authors establish the compactness on weighted Lp spaces and the Morrey spaces, for the commutator generated by CMO(ℝn) function and TΩ. The associated maximal operator and the discrete maximal operator are also considered.

Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ferit Gürbüz ◽  
Shenghu Ding ◽  
Huili Han ◽  
Pinhong Long
Keyword(s):  
Integral Operator ◽  
Singular Integral ◽  
Variable Exponent ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Rough Kernel ◽  
Type Integral ◽  
Type Spaces ◽  
Bounded Sets ◽  
Littlewood Maximal Operator

AbstractIn this paper, applying the properties of variable exponent analysis and rough kernel, we study the mapping properties of rough singular integral operators. Then, we show the boundedness of rough Calderón–Zygmund type singular integral operator, rough Hardy–Littlewood maximal operator, as well as the corresponding commutators in variable exponent vanishing generalized Morrey spaces on bounded sets. In fact, the results above are generalizations of some known results on an operator basis.

On a singular integral operator

1988 ◽  
Vol 43 (3) ◽  
pp. 199-200
Author(s):  
K Kh Boimatov ◽  
G Dzhangibekov
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral
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