Continuous characterizations of weighted Besov spaces of variable smoothness and integrability-Reference-Cited by-同舟云学术

Continuous characterizations of weighted Besov spaces of variable smoothness and integrability

Published:2023 Issue:29 Volume:37 Page:9913-9930
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Guo Pengfei¹,Wang Shengrong¹,Xu Jingshi²

Affiliation:

1. School of Mathematics and Statistics, Hainan Normal University, Haikou, China

2. Center for Applied Mathematics of Guangxi, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, School of Mathematics and Computing Science Guilin University of Electronic Technology, Guilin, China

Abstract

In this paper, we give continuous version of the weighted Besov spaces of variable smoothness and integrability and obtain their equivalent norms by Peetre?s maximal functions.

Publisher

National Library of Serbia

Reference38 articles.

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4. O. Besov, On spaces of functions of variable smoothness deflned by pseudodifierential operators (Russian), Tr. Mat. Inst. Steklova 227 (1999), 56-74.

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