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Endpoint compactness of singular integrals and perturbations of the Cauchy integral

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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

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To link to this item 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
Refereed:Yes
Divisions:No Reading authors. Back catalogue items
ID Code:71294
Publisher:Duke University Press
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