Sparse Domination Via the Calderón-Zygmund Decomposition: the Example of Dini-Smooth Kernels
In this expository article, we briefly survey the main known schemes of proof of sparse domination principles within harmonic analysis.We then use the one based on the Calderón-Zygmund decomposition to prove a dual sparse domination estimate for Calderón-Zymgund operatorswith Dini-smooth kernels, wi...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad Loyola Andalucía |
| Repositorio: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:biblosearchi::30f870d35750bfd6035eb202d0728297 |
| Acceso en línea: | https://hdl.handle.net/10486/764960 https://dx.doi.org/10.1007/s12220-025-02187-x |
| Access Level: | acceso abierto |
| Palabra clave: | Sparse domination Calderón-Zygmund theory Calderón-Zygmund decomposition nondoubling measures Matemáticas |
| Sumario: | In this expository article, we briefly survey the main known schemes of proof of sparse domination principles within harmonic analysis.We then use the one based on the Calderón-Zygmund decomposition to prove a dual sparse domination estimate for Calderón-Zymgund operatorswith Dini-smooth kernels, with an eye on the difficulties that arise when trying to transfer the argument to spaces with nondoubling measures |
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