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Orlicz–Besov Extension and Imbedding

Part of: Harmonic analysis in several variables Linear function spaces and their duals

Published online by Cambridge University Press:  01 July 2019

Hongyan Sun
Hongyan Sun*
Affiliation:
Department of Sciences, China University of Geosciences, Beijing100083, P.R. China Email: [email protected]
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Abstract

We establish criteria for Orlicz–Besov extension/imbedding domains via (global) $n$-regular domains that generalize the known criteria for Besov extension/imbedding domains.

Keywords

Orlicz–Besov extensionOrlicz–Besov imbbeding(global) n-regular domain

MSC classification

Primary: 46E35: Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
Secondary: 42B35: Function spaces arising in harmonic analysis
Type
Article
Information
Canadian Mathematical Bulletin , Volume 63 , Issue 1 , March 2020 , pp. 222 - 241
Copyright
© Canadian Mathematical Society 2019

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Footnotes

The author was supported by the National Natural Science of Foundation of China (No. 11601494).

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