Interpolation of Morrey-Campanato and Related Smoothness Spaces

Abstract

In this article, the authors 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 $\pm$-method and the Peetre-Gagliardo method, are studied in such a framework. Special emphasize is given to the quasi-Banach case and to the interpolation property.

arXiv commentSci. China Math. (2015)

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Cited by in corpus (6)

• Generalized Morrey spaces and trace operator
• Some Intrinsic Characterizations of Besov-Triebel-Lizorkin-Morrey-type Spaces on Lipschitz Domains
• On Seeley-type Universal Extension Operators for the Upper Half Space
• Hardy-type and Heisenberg's inequality in Morrey spaces
• Complex interpolation of vanishing Morrey spaces
• The Haar System in Besov-type Spaces