Endpoint estimates for Haar shift operators with balanced measures
We prove H1 and BMO endpoint inequalities for generic cancellative Haar shifts defined with respect to a possibly non-homogeneous Borel measure μ satisfying a weak regularity condition. This immediately yields a new, highly streamlined proof of the L p-results for the same operators due to López-San...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/721021 |
| Acceso en línea: | http://hdl.handle.net/10486/721021 https://dx.doi.org/10.1007/s12220-025-02080-7 |
| Access Level: | acceso abierto |
| Palabra clave: | Haar shift operators Hardy spaces Lipschitz spaces balanced measures Matemáticas |
| Sumario: | We prove H1 and BMO endpoint inequalities for generic cancellative Haar shifts defined with respect to a possibly non-homogeneous Borel measure μ satisfying a weak regularity condition. This immediately yields a new, highly streamlined proof of the L p-results for the same operators due to López-Sanchez, Martell, and Parcet [6]. We also prove regularity properties for the Haar shift operators on the natural martingale Lipschitz spaces defined with respect to the underlying dyadic system, and proving that the class of measures that we consider is sharp |
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