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April, 2019 Ball Average Characterizations of Variable Besov-type Spaces
Ciqiang Zhuo, Der-Chen Chang, Dachun Yang
Taiwanese J. Math. 23(2): 427-452 (April, 2019). DOI: 10.11650/tjm/181204

Abstract

In this article, the authors characterize the variable Besov-type spaces $B_{p(\cdot),q(\cdot)}^{s(\cdot),\phi}(\mathbb{R}^n)$, with $1/p(\cdot)$ and $1/q(\cdot)$ satisfying the globally log-Hölder continuous conditions, via Peetre maximal functions and averages on balls. The latter characterization, via averages on balls, gives one way to introduce these spaces on metric measure spaces.

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Ciqiang Zhuo. Der-Chen Chang. Dachun Yang. "Ball Average Characterizations of Variable Besov-type Spaces." Taiwanese J. Math. 23 (2) 427 - 452, April, 2019. https://doi.org/10.11650/tjm/181204

Information

Received: 7 May 2018; Accepted: 3 December 2018; Published: April, 2019
First available in Project Euclid: 21 December 2018

zbMATH: 07055576
MathSciNet: MR3936007
Digital Object Identifier: 10.11650/tjm/181204

Subjects:
Primary: 46E35
Secondary: 42B35

Keywords: ball average , Besov space , Peetre maximal function , ‎variable exponent

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

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Vol.23 • No. 2 • April, 2019
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