Variation and oscillation inequalities for commutators in two-weight setting
type: Item
instance of: scholarly article
title: Variation and oscillation inequalities for commutators in two-weight setting
zbMATH Open document ID: 1475.42029
author: Yongming Wen
author: Weichao Guo
author: Huoxiong Wu
published in: Forum Mathematicum
publication date: 2021-03-08T00:00:00Z
review text: In this manuscript, the authors introduce the two-weight estimates of variation and oscillation operators for commutators of singular integrals with weighted BMO functions. A new characterization of weighted BMO spaces via the boundedness of variation and oscillation operators for the iterated commutators of Calderón-Zygmund singular integrals in the two-weight setting is given. The results in this paper are rich, novelty, and the arguments are nontrivial. Moreover, the paper is written well.
reviewed by: Jiang Zhou
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 42B25
zbMATH DE Number: 7318572
zbMATH Keywords: variation
zbMATH Keywords: oscillation
zbMATH Keywords: weighted BMO
zbMATH Keywords: iterated commutators
zbMATH Keywords: two-weight
MaRDI profile type: Publication
full work available at URL: forum-2019-0217
OpenAlex ID: W3044224247
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DOI: 10.1515/FORUM-2019-0217
description: scientific article; zbMATH DE number 7318572