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Interpolation of Morrey-Campanato and related smoothness spaces

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Abstract

We study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e. g., Besov-type and Triebel-Lizorkin-type spaces. Various interpolation methods, including the complex method, the ±-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasis is given to the quasi-Banach case and to the interpolation property.

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  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China

    Wen Yuan & DaChun Yang

  2. Mathematisches Institut, Friedrich-Schiller-Universität Jena, Jena, 07743, Germany

    Winfried Sickel

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  1. Wen Yuan
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Yuan, W., Sickel, W. & Yang, D. Interpolation of Morrey-Campanato and related smoothness spaces. Sci. China Math. 58, 1835–1908 (2015). https://doi.org/10.1007/s11425-015-5047-8

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