Two-weight extrapolation on function spaces and applications
This paper is devoted to studying the extrapolation theory of Rubio de Francia on general function spaces. We present endpoint extrapolation results including (Formula presented.), (Formula presented.), and (Formula presented.) extrapolation in the context of Banach function spaces, and also on modu...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2024 |
| País: | España |
| Recursos: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/379374 |
| Acesso em linha: | http://hdl.handle.net/10261/379374 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85191156493&doi=10.1002%2fmana.202300120&partnerID=40&md5=a1ee1d3897e79d95c9e67ab72b12c97e |
| Access Level: | acceso abierto |
| Palavra-chave: | Banach function spaces endpoint estimates local decay estimates Muckenhoupt–Wheeden conjecture Rubio de Francia extrapolation two-weight inequalities vector-valued inequalities |
| Resumo: | This paper is devoted to studying the extrapolation theory of Rubio de Francia on general function spaces. We present endpoint extrapolation results including (Formula presented.), (Formula presented.), and (Formula presented.) extrapolation in the context of Banach function spaces, and also on modular spaces. We also include several applications that can be easily obtained using extrapolation: local decay estimates for various operators, Coifman–Fefferman inequalities that can be used to show some known sharp (Formula presented.) inequalities, Muckenhoupt–Wheeden and Sawyer's conjectures are also presented for many operators, which go beyond Calderón–Zygmund operators. Finally, we obtain two-weight inequalities for Littlewood–Paley operators and Fourier integral operators on weighted Banach function spaces. © 2024 Wiley-VCH GmbH. |
|---|