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

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  • Emin V. Guliyev
  • Yagub Y. Mammadov

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 .

Suggested Citation

  • Emin V. Guliyev & Yagub Y. Mammadov, 2010. "Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-10, March.
    • Handle: RePEc:hin:jnlaaa:291345
    DOI: 10.1155/2010/291345
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