Interpolation of Morrey-Campanato and related smoothness spaces

• DOI: 10.1007/s11425-015-5047-8
• Publication Date: 2015-07-29T12:14:43Z
• Authors: Wen Yuan; Winfried Sickel; DaChun Yang
• Keywords: Interpolation; Smoothness

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.<br/>Sci. China Math. (2015)<br/>