Endpoint compactness of singular integrals and perturbations of the Cauchy integral

Perfekt, K.-M., Pott, S. and Villarroya, P. (2017) Endpoint compactness of singular integrals and perturbations of the Cauchy integral. Kyoto Journal of Mathematics, 57 (2). pp. 365-393. ISSN 2156-2261 doi: 10.1215/21562261-3821837

Abstract/Summary

We prove sufficient and necessary conditions for the compactness of Calderón–Zygmund operators on the endpoint from L∞(R)L∞(R) into CMO(R)CMO(R). We use this result to prove the compactness on Lp(R)Lp(R) with 1<p<∞1<p<∞ of a certain perturbation of the Cauchy integral on curves with normal derivatives satisfying a CMOCMO-condition.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/71294
Identification Number/DOI	10.1215/21562261-3821837
Refereed	Yes
Divisions	No Reading authors. Back catalogue items
Publisher	Duke University Press
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