Measures that define a compact cauchy transform

Carmelo Puliatti, Svitlana Mayboroda

Research output: Contribution to journalArticle


The aim of this work is to provide a geometric characterization of the positive Radon measures µ with compact support on the plane such that the associated Cauchy transform defines a compact operator from L 2 (µ) to L 2 (µ). It turns out that a crucial role is played by the density of the measure and by its Menger curvature.

Original languageEnglish (US)
Pages (from-to)2069-2080
Number of pages12
JournalProceedings of the American Mathematical Society
Issue number5
StatePublished - May 2019

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