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Complex Interpolation of Smoothness Morrey Subspaces

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Constructive Approximation Aims and scope

Abstract

Recently more and more attention has been paid to subspaces of Morrey spaces. The description of interpolation results for many of these spaces is found. However, the ones for smoothness Morrey subspaces are missing. The aim of this paper is to describe the output by the first and the second complex interpolations of these smoothness Morrey subspaces.

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Authors and Affiliations

  1. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Osawa, Hachioji-shi, Tokyo, 192-0397, Japan

    Denny Ivanal Hakim, Shohei Nakamura & Yoshihiro Sawano

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  1. Denny Ivanal Hakim
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  2. Shohei Nakamura
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  3. Yoshihiro Sawano
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Correspondence to Denny Ivanal Hakim.

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Communicated by Holger Rauhut.

Dedicated to the 60th birthday of Professor Eiichi Nakai.

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Hakim, D.I., Nakamura, S. & Sawano, Y. Complex Interpolation of Smoothness Morrey Subspaces. Constr Approx 46, 489–563 (2017). https://doi.org/10.1007/s00365-017-9392-4

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  • DOI: https://doi.org/10.1007/s00365-017-9392-4

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