Abstract
We prove sufficient and necessary conditions for the compactness of Calderón–Zygmund operators on the endpoint from into . We use this result to prove the compactness on with of a certain perturbation of the Cauchy integral on curves with normal derivatives satisfying a -condition.
Citation
Karl-Mikael Perfekt. Sandra Pott. Paco Villarroya. "Endpoint compactness of singular integrals and perturbations of the Cauchy integral." Kyoto J. Math. 57 (2) 365 - 393, June 2017. https://doi.org/10.1215/21562261-3821837
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