Variation and oscillation inequalities for commutators in two-weight setting-Reference-Cited by-同舟云学术

Variation and oscillation inequalities for commutators in two-weight setting

Published:2020-07-16 Issue:6 Volume:32 Page:1459-1475
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Wen Yongming¹,Guo Weichao²,Wu Huoxiong¹

Affiliation:

1. School of Mathematical Sciences , Xiamen University , Xiamen 361005 , P. R. China

2. School of Science , Jimei University , Xiamen , 361021 , P. R. China

Abstract

Abstract This paper studies the two-weight estimates of variation and oscillation operators for commutators of singular integrals with weighted BMO

{\mathrm{BMO}}

functions. A new characterization of weighted BMO

{\mathrm{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.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2019-0217/pdf

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