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Journal of Function Spaces
Volume 2015, Article ID 490259, 9 pages
http://dx.doi.org/10.1155/2015/490259
Research Article

Weighted Weak Local Hardy Spaces Associated with Schrödinger Operators

Beijing International Studies University, Beijing 100024, China

Received 11 April 2015; Revised 30 June 2015; Accepted 13 July 2015

Academic Editor: Guozhen Lu

Copyright © 2015 Hua Zhu. 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 characterize the weighted weak local Hardy spaces related to the critical radius function and weights which locally behave as Muckenhoupt’s weights and actually include them, by the atomic decomposition. As an application, we show that localized Riesz transforms are bounded on the weighted weak local Hardy spaces.