Decompositions of Besov–Morrey spaces and Triebel–Lizorkin–Morrey spaces |
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| Authors: | Yoshihiro Sawano Hitoshi Tanaka |
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| Institution: | (1) Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-Shi, Tokyo 192-0397, Japan |
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| Abstract: | The aim of this paper is to define the Besov–Morrey spaces and the Triebel– Lizorkin–Morrey spaces and to present a decomposition
of functions belonging to these spaces. Our results contain an answer to the conjecture proposed by Mazzucato.
The first author is supported by Research Fellowships of the Japan Society for the Promotion of Science for Young Scientists.
The second author is supported by Fūjyukai foundation and the 21st century COE program at Graduate School of Mathematical
Sciences, the University of Tokyo. |
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| Keywords: | Besov Triebel– Lizorkin space Morrey space Decomposition of functions |
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