Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains

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.

Bibliographic Details
Main Authors: Zhuo Ciqiang, Hovemann Marc, Sickel Winfried
Format: Article
Language:English
Published: De Gruyter 2020-11-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2020-0114