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2015 Some characterizations of variable Besov-type spaces
Douadi Drihem
Ann. Funct. Anal. 6(4): 255-288 (2015). DOI: 10.15352/afa/06-4-255

Abstract

The aim of this paper is to study properties of Besov-type spaces with variable smoothness and integrability. We show that these spaces are characterized by the $\varphi$-transforms in appropriate sequence spaces and we obtain atomic decompositions for these spaces.

Citation

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Douadi Drihem. "Some characterizations of variable Besov-type spaces." Ann. Funct. Anal. 6 (4) 255 - 288, 2015. https://doi.org/10.15352/afa/06-4-255

Information

Published: 2015
First available in Project Euclid: 1 July 2015

zbMATH: 1330.46031
MathSciNet: MR3365996
Digital Object Identifier: 10.15352/afa/06-4-255

Subjects:
Primary: 46E35
Secondary: 42B25 , 42B35

Keywords: atom, maximal function , Besov-type space , ‎variable exponent

Rights: Copyright © 2015 Tusi Mathematical Research Group

Vol.6 • No. 4 • 2015
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