Boundedness results for commutators with BMO functions via weighted estimates: a comprehensive approach
| Autor: | Kabe Moen, Eric Stachura, José María Martell, Rodolfo H. Torres, Árpád Bényi |
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| Přispěvatelé: | Simons Foundation, Ministerio de Economía y Competitividad (España), European Research Council, National Science Foundation (US), MARTELL, JOSE MARIA [0000-0001-6788-4769 ], Stachura, Eric [0000-0002-5105-2914], Torres, Rodolfo H. [0000-0002-3777-8671], MARTELL, JOSE MARIA, Stachura, Eric, Torres, Rodolfo H. |
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Multilinear map General Mathematics Mathematics::Classical Analysis and ODEs Linearizable operators Bilinear interpolation 01 natural sciences symbols.namesake 0103 physical sciences Classical Analysis and ODEs (math.CA) FOS: Mathematics 0101 mathematics Linear and multilinear Calderón-Zygmund operators Cauchy's integral formula Mathematics Mathematics::Functional Analysis Product weights 010102 general mathematics Kato operator Muckenhoupt weights Commutators Mathematics - Classical Analysis and ODEs Bilinear Hilbert transform symbols 010307 mathematical physics Hilbert transform Linear and multilinear fractional integrals Spaces of bounded mean oscillations |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| ISSN: | 1432-1807 0025-5831 |
| DOI: | 10.1007/s00208-019-01870-z |
| Popis: | 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. Simons Foundation, grants No. 246024 and No.160427 Spanish Ministry of Economy and Competitiveness, through the “Severo Ochoa” Programme for Centres of Excellence in R&D (SEV-2015-0554) European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013)/ ERC agreement no. 615112 HAPDEGMT NSF grant DMS 1069015 |
| Databáze: | OpenAIRE |
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