Q spaces and Morrey spaces |
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| Authors: | Zhijian Wu Chunping Xie |
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| Institution: | a Department of Mathematics, The University of Alabama, Tuscaloosa, AL 35487, USA
b Department of Mathematics, Arkansas Tech University, Russellville, AR 72801, USA |
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| Abstract: | We characterize functions in Morrey space by p-Carleson measures. We then reveal a simple relation between Q space and Morrey space, that is Q space can be viewed as a fractional integration of the Morrey space. Therefore, many results for Morrey space can be translated onto Q space. For example, we show that Q space is a dual space by identifying its predual. |
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