English

Interpolation of Morrey-Campanato and Related Smoothness Spaces

Classical Analysis and ODEs 2015-06-17 v3 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1406.0906,
  title  = {Interpolation of Morrey-Campanato and Related Smoothness Spaces},
  author = {Wen Yuan and Winfried Sickel and Dachun Yang},
  journal= {arXiv preprint arXiv:1406.0906},
  year   = {2015}
}

Comments

Sci. China Math. (2015)