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Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains

2020/08/01 by Ciqiang Zhuo, Zhuo, Ciqiang, Marc Hovemann +3
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2008.00256

openalex publication_date 2020/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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