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Complex interpolation of various subspaces of Morrey spaces |
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| Authors: | Hakim Denny Ivanal Sawano Yoshihiro |
| Institution: | 1.Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Tokyo, 192-0397, Japan ;2.Department of Mathematics, Bandung Institute of Technology, Bandung, 40132, Indonesia ;3.Department of Mathematics Analysis and the Theory of Functions, Peoples’ Friendship University of Russia, Moscow, 117198, Russia ; |
| Abstract: | In this article, we discuss the complex interpolation of various closed subspaces of Morrey spaces.We have been considering some closed subspaces of Morrey spaces in our earlier works. The main property that we need is the lattice property but in connection with the diamond spaces defined by Yuan et al.(2015), it seems to be natural to consider the convolution property as well. Our result will extend the results by Hakim and Sawano(2017) and Hakim et al.(2017). |
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