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 .
Emin V. Guliyev. Yagub Y. Mammadov. "Some Embeddings into the Morrey and Modified Morrey Spaces Associated with the Dunkl Operator." Abstr. Appl. Anal. 2010 1 - 10, 2010. https://doi.org/10.1155/2010/291345