Estimates of Intrinsic Square Functions on Generalized Weighted Morrey SpacesReport as inadecuate




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Journal of Function Spaces - Volume 2014 2014, Article ID 168381, 8 pages -

Research Article

School of Science, Hangzhou Dianzi University, Hangzhou 310018, China

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received 24 March 2014; Accepted 8 July 2014; Published 22 July 2014

Academic Editor: Aurelian Gheondea

Copyright © 2014 Guilian Gao and Xiaomei Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove the boundedness of the intrinsic functions on generalized weighted Morrey spaces , including the strong type estimates and weak type estimates. Moreover, we define the kth-order commutators generated by functions and intrinsic functions, and obtain their strong type estimates on . In some cases, we improve previous results.





Author: Guilian Gao and Xiaomei Wu

Source: https://www.hindawi.com/



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