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

Universidad Nacional del Sur
University of the Basque Country

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

59 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2018 London Mathematical Society

Funding

Received 21 May 2018; revised 4 September 2018; published online 1 November 2018. 2010 Mathematics Subject Classification 42B20, 42B25 (primary). The first author was supported by ISF grant no. 447/16 and ERC Starting grant no. 713927. The second author was supported by CONICET PIP 11220130100329CO, Argentina. The third author was supported by the Basque Government through the BERC 2014-2017 program and by the Spanish Ministry of Economy and Competitiveness MINECO through BCAM Severo Ochoa excellence accreditation SEV-2013-0323 and also through the projects MTM2014-53850-P and MTM2012-30748.

Funders	Funder number
BERC
Horizon 2020 Framework Programme	713927
European Commission
Consejo Nacional de Investigaciones Científicas y Técnicas	PIP 11220130100329CO
Eusko Jaurlaritza
Ministerio de Economía y Competitividad	SEV-2013-0323, MTM2014-53850-P, MTM2012-30748
Israel Science Foundation	447/16

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10.1112/blms.12216

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Commutators of singular integrals revisited

Abstract

Bibliographical note

Funding

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