Weak-type maximal function estimates on the infinite-dimensional torus
We prove necessary and sufficient conditions for the weak-L p boundedness, for p ∈ (1,∞), of a maximal operator on the infinite-dimensional torus. In the endpoint case p = 1 we obtain the same weak-type inequality enjoyed by the strong maximal function in dimension two. Our results are quantitativel...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universidad Autónoma de Madrid |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.uam.es:10486/707754 |
| Acesso em linha: | http://hdl.handle.net/10486/707754 https://dx.doi.org/10.1007/s00209-023-03302-w |
| Access Level: | acceso abierto |
| Palavra-chave: | Infinite-dimensional torus Maximal operator Weak-type estimate Matemáticas |
| Resumo: | We prove necessary and sufficient conditions for the weak-L p boundedness, for p ∈ (1,∞), of a maximal operator on the infinite-dimensional torus. In the endpoint case p = 1 we obtain the same weak-type inequality enjoyed by the strong maximal function in dimension two. Our results are quantitatively sharp |
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