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 | |
| 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 |