L2 boundedness of the Cauchy transform implies L2 boundedness of all Calderón-Zygmund operators associated to odd kernels

• Autores: Xavier Tolsa Domènech
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 48, Nº 2, 2004, págs. 445-479
• Idioma: español
• DOI: 10.5565/publmat_48204_09
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• Resumen

  • Let µ be a Radon measure on C without atoms. In this paper we prove that if the Cauchy transform is bounded in L2 (µ), then all 1-dimensional Calder´on-Zygmund operators associated to odd and sufficiently smooth kernels are also bounded in L2 (µ).