L-p estimates for the variation for singular integrals on uniformly rectifiable sets
The L^p(1<p<\infty) and weak- L^1 estimates for the variation for Calderón-Zygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The L^2 boundedness and the corona decomposition method are two key ingredients of the proof.
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2017 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositório: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglês |
| OAI Identifier: | oai:upcommons.upc.edu:2117/108444 |
| Acesso em linha: | https://hdl.handle.net/2117/108444 https://dx.doi.org/10.1090/tran/6987 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Classificació AMS::42 Fourier analysis::42B Fourier analysis in several variables Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Resumo: | The L^p(1<p<\infty) and weak- L^1 estimates for the variation for Calderón-Zygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The L^2 boundedness and the corona decomposition method are two key ingredients of the proof. |
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