Boundedness of Maximal and Singular Operatorsin Morrey Spaces with Variable Exponent

Vakhtang Kokilashvili

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

In this paper the boundedness of Hardy-Littlewood maximal andsingular operators in variable exponent Morrey spacesMp(·)q(·)(X) defined on spacesof homogeneous type is established provided thatpandqsatisfy Dini-Lipschitz(log-H ̈older continuity) condition.

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Boundedness of Maximal and Singular Operatorsin Morrey Spaces with Variable Exponent

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