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Characterization of Herz-type Besov-Morrey and Triebel-Lizorkin-Morrey Spaces
Version 1
: Received: 20 April 2023 / Approved: 21 April 2023 / Online: 21 April 2023 (10:43:57 CEST)
How to cite: Abdulkadirov, R.; Lyakhov, P. Characterization of Herz-type Besov-Morrey and Triebel-Lizorkin-Morrey Spaces. Preprints 2023, 2023040722. https://doi.org/10.20944/preprints202304.0722.v1 Abdulkadirov, R.; Lyakhov, P. Characterization of Herz-type Besov-Morrey and Triebel-Lizorkin-Morrey Spaces. Preprints 2023, 2023040722. https://doi.org/10.20944/preprints202304.0722.v1
Abstract
The main goal of this article is the characterization of Herz-type Besov-Morrey spaces K˙p,qαN˙μ,rs and Triebel-Lizorkin-Morrey spaces K˙p,qαE˙μ,rs via ball means of differences, atomic, molecular and wavelet decompositions. There are provided necessary facts for implying these results, which can help to explore such spaces on different domains in further researches. Proposed spaces allow to extend the class of studying functions, containing Leray projection, heat semi-group and other operators, which can be helpful in exploring weak, strong and mild solutions of nonlinear partial differential equations.
Keywords
Herz-type Besov-Morrey spaces; Herz-type Triebel-Lizorkin-Morrey spaces; ball mean of differences; atomic and molecular decomposition; wavelet decomposition
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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