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 operators with Dini-smooth kernels,...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universidad Autónoma de Madrid |
| Repository: | Biblos-e Archivo. Repositorio Institucional de la UAM |
| Language: | English |
| OAI Identifier: | oai:repositorio.uam.es:10486/747040 |
| Online Access: | https://hdl.handle.net/10486/747040 https://dx.doi.org/doi.org/10.1007/s12220-025-02187-x |
| Access Level: | Open access |
| Keyword: | Sparse domination Calderón-Zygmund theory Calderón-Zygmund decomposition Nondoubling measures Matemáticas |
| Summary: | 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 operators with 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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