Commutators of singular integrals revisited

Andrei K. Lerner; Sheldy Ombrosi; Israel P. Rivera-Ríos

doi:10.1112/blms.12216

Commutators of singular integrals revisited

Andrei K. Lerner, Sheldy Ombrosi, Israel P. Rivera-Ríos

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

Abstract

We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.

Original language	English
Pages (from-to)	107-119
Number of pages	13
Journal	Bulletin of the London Mathematical Society
Volume	51
Issue number	1
DOIs	https://doi.org/10.1112/blms.12216
State	Published - 1 Feb 2019

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/blms.12216

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title = "Commutators of singular integrals revisited",

abstract = "We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.",

author = "Lerner, {Andrei K.} and Sheldy Ombrosi and Rivera-R{\'i}os, {Israel P.}",

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AU - Lerner, Andrei K.

AU - Ombrosi, Sheldy

AU - Rivera-Ríos, Israel P.

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N2 - We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.

AB - We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.

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U2 - 10.1112/blms.12216

DO - 10.1112/blms.12216

M3 - مقالة

SN - 0024-6093

VL - 51

SP - 107

EP - 119

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 1

ER -

Commutators of singular integrals revisited

Abstract

All Science Journal Classification (ASJC) codes

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