Abstract
© 2019 American Mathematical Society. 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 language | English |
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Pages (from-to) | 2069-2080 |
Journal | Proceedings of the American Mathematical Society |
Volume | 147 |
DOIs | |
Publication status | Published - 1 May 2019 |