Rescaled extrapolation for vector-valued functions
We extend Rubio de Francia's extrapolation theorem for functions valued in UMD Banach function spaces, leading to short proofs of some new and known results. In particular we prove Littlewood-Paley-Rubio de Francia-type estimates and boundedness of variational Carleson operators for Banach func...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:200748 |
| Acceso en línea: | https://ddd.uab.cat/record/200748 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6311905 |
| Access Level: | acceso abierto |
| Palabra clave: | Extrapolation Muckenhoupt weights UMD Banach function spaces P-convexity Hardy-littlewood maximal function Fourier multipliers Variational carleson operator Littlewood-paley-rubio de francia inequalities |
| Sumario: | We extend Rubio de Francia's extrapolation theorem for functions valued in UMD Banach function spaces, leading to short proofs of some new and known results. In particular we prove Littlewood-Paley-Rubio de Francia-type estimates and boundedness of variational Carleson operators for Banach function spaces with UMD concavifications. |
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