Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator

Emin V. Guliyev and Yagub Y. Mammadov

Abstract and Applied Analysis, 2010, vol. 2010, 1-10

Abstract:

We consider the generalized shift operator, associated with the Dunkl operator , . We study some embeddings into the Morrey space ( -Morrey space) , and modified Morrey space (modified -Morrey space) associated with the Dunkl operator on . As applications we get boundedness of the fractional maximal operator , , associated with the Dunkl operator (fractional -maximal operator) from the spaces to for and from the spaces to for .

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:291345

DOI: 10.1155/2010/291345

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