Science China Mathematics

, Volume 58, Issue 9, pp 1835–1908 | Cite as

Interpolation of Morrey-Campanato and related smoothness spaces

  • Wen Yuan
  • Winfried Sickel
  • DaChun YangEmail author


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.


Morrey space Campanato space Besov-type space Triebel-Lizorkin-type space real and complex interpolation ±-method of interpolation Peetre-Gagliardo interpolation Calderón product 


46B70 46E35 


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© Science China Press and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.School of Mathematical SciencesBeijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of EducationBeijingChina
  2. 2.Mathematisches InstitutFriedrich-Schiller-Universität JenaJenaGermany

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