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BY 4.0 license Open Access Published by De Gruyter Open Access November 22, 2020

Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains

  • Ciqiang Zhuo EMAIL logo , Marc Hovemann and Winfried Sickel

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.

MSC 2010: 46B70; 46E35

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Received: 2020-08-04
Accepted: 2020-10-18
Published Online: 2020-11-22

© 2020 Ciqiang Zhuo et al., published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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