End-point maximal regularity for the discrete parabolic Cauchy problem and regularity of non-local operators in discrete Besov spaces
In this paper we prove both end-point maximal L1-regularity for the discrete parabolic Cauchy problem and regularity of some non-local operators in discrete Besov spaces. To that aim, we prove characterizations of the discrete Besov spaces in terms of the heat and Poisson semigroups associated with...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:ucreareposit::53288bf8bfc8f2792dbc4ed664099a79 |
| Acceso en línea: | https://hdl.handle.net/10902/39747 |
| Access Level: | acceso abierto |
| Palabra clave: | Maximal L1-regularity Discrete Besov spaces Discrete heat and Poisson semigroups Regularity of discrete fractional operators |
| Sumario: | In this paper we prove both end-point maximal L1-regularity for the discrete parabolic Cauchy problem and regularity of some non-local operators in discrete Besov spaces. To that aim, we prove characterizations of the discrete Besov spaces in terms of the heat and Poisson semigroups associated with the discrete Laplacian. Moreover, we provide new estimates for the derivatives of the discrete heat kernel and semigroup which are of independent interest. |
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