Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces

Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces

Abstract In this paper, we establish some boundedness conditions for the multidimensional Hausdorff operator on the homogeneous Hardy-Morrey and on the Besov-Morrey space, and we extend some results in the recent papers by Jia and Wang, and by Mazzucato, respectively. The main tool we implement in t...

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Bibliographic Details
Main Author: Belay Mitiku Damtew
Format: Article
Language:English
Published: SpringerOpen 2016-11-01
Series:Journal of Inequalities and Applications
Subjects:
Hausdorff operator
boundedness
Hardy-Morrey space
Besov-Morrey space
atomic decomposition
Online Access:http://link.springer.com/article/10.1186/s13660-016-1244-4

Internet

http://link.springer.com/article/10.1186/s13660-016-1244-4

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