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Licensed Unlicensed Requires Authentication Published by De Gruyter January 19, 2017

Variable exponent Herz type Besov and Triebel–Lizorkin spaces

  • Jingshi Xu EMAIL logo and Xiaodi Yang

Abstract

We establish the boundedness of the vector-valued Hardy–Littlewood maximal operator in variable exponent Herz spaces, which were introduced by Samko in [33]. We also introduce variable exponent Herz type Besov and Triebel–Lizorkin spaces and give characterizations of these new spaces by maximal functions.

MSC 2010: 46E35; 42B25; 42B35

Award Identifier / Grant number: 11761026

Funding statement: The first author is supported by the National Natural Science Foundation of China through grant no. 11761026.

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Received: 2014-9-21
Accepted: 2015-1-20
Published Online: 2017-1-19
Published in Print: 2018-3-1

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