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Variational characterizations of weighted Hardy spaces and weighted $BMO$ spaces

Published online by Cambridge University Press:  01 December 2021

Weichao Guo
Affiliation:
School of Science, Jimei University, Xiamen 361021, China (weichaoguomath@gmail.com)
Yongming Wen*
Affiliation:
School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China (wenyongmingxmu@163.com)
Huoxiong Wu
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China (huoxwu@xmu.edu.cn; dyyang@xmu.edu.cn)
Dongyong Yang
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen 361005, China (huoxwu@xmu.edu.cn; dyyang@xmu.edu.cn)
*
*Corresponding author.

Abstract

This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$ type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.

Type
Research Article
Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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