Boundedness of Maximal and Singular Operators in Morrey Spaces with Variable Exponent
In this paper the boundedness of Hardy-Littlewood maximal and singular operators in variable exponent Morrey spaces $M^{p(\cdot)}_{q(\cdot)}(X)$ defined on spaces of homogeneous type is established provided that $p$ and $q$ satisfy Dini-Lipschitz (log-H\"older continuity) condition.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Republic of Armenia National Academy of Sciences
2008-07-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://test.armjmath.sci.am/index.php/ajm/article/view/8 |
| Summary: |
In this paper the boundedness of Hardy-Littlewood maximal and singular operators in variable exponent Morrey spaces $M^{p(\cdot)}_{q(\cdot)}(X)$ defined on spaces of homogeneous type is established provided that $p$ and $q$ satisfy Dini-Lipschitz (log-H\"older continuity) condition. |
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| ISSN: | 1829-1163 |