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.

Sci. China Math. (2015)

References in corpus (2)

• The Fatou property of block spaces
• Hardy spaces $H^p$ over non-homogeneous metric measure spaces and their applications

Cited by in corpus (1)

• Complex interpolation of vanishing Morrey spaces