Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick, recovering many known results but y...
| Authors: | , , , , |
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2019 |
| Country: | España |
| Institution: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repository: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/192865 |
| Online Access: | http://hdl.handle.net/10261/192865 |
| Access Level: | Open access |
| Keyword: | Commutators Spaces of bounded mean oscillations Muckenhoupt weights Product weights Linearizable operators Linear and multilinear Calderón-Zygmund operators Kato operator Linear and multilinear fractional integrals Bilinear Hilbert transform |
| Summary: | We present a unified method to obtain unweighted and weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick, recovering many known results but yielding also numerous new ones. In particular, we solve a problem about the boundedness of the commutators of the bilinear Hilbert transform with functions in BMO. |
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