scholarly journals On the kernel of a singular integral operator with non-Carleman shift and conjugation

2015 ◽  
pp. 433-456 ◽  
Author(s):  
Ana C. Conceição ◽  
Rui C. Marreiros
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Carleman Shift

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

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.

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