Armenian Journal of Mathematics, 1(1)
2008; 18–28
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Boundedness of Maximal and Singular Operatorsin Morrey Spaces with Variable Exponent

Vakhtang Kokilashvili*, Alexander Meskhi

Received: 2024-11-29 · Published: 2008-07-11

© 2008 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
Boundedness of Maximal and Singular Operatorsin Morrey Spaces with Variable Exponent
Authors
Vakhtang Kokilashvili, Alexander Meskhi
Source journal
Armenian Journal of Mathematics, 1(1)
Published
2008-07-11
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/8

Abstract

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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