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Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains

Classical Analysis and ODEs 2020-08-04 v1 Analysis of PDEs Functional Analysis

Abstract

In this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded domains. Under certain conditions on the parameters the outcome belongs to the scale of the so-called diamond spaces.

Keywords

Cite

@article{arxiv.2008.00256,
  title  = {Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains},
  author = {Ciqiang Zhuo and Marc Hovemann and Winfried Sickel},
  journal= {arXiv preprint arXiv:2008.00256},
  year   = {2020}
}

Comments

44 pages, 1 figure