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Spectral Asymptotics of the Cauchy Operator and its Product with Bergman’s Projection on a Doubly Connected Domain

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Abstract

We found the exact asymptotics of the singular numbers for the Cauchy transform and its product with Bergman’s projection over the space \(L^{2}(\Omega ),\) where \(\Omega \) is a doubly-connected domain in the complex plane.

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  1. Faculty of Natural Science and Mathematics, University of Montenegro, Dzordza Vašingtona bb, 81000, Podgorica, Montenegro

    Djordjije Vujadinović

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  1. Djordjije Vujadinović
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Vujadinović, D. Spectral Asymptotics of the Cauchy Operator and its Product with Bergman’s Projection on a Doubly Connected Domain. Potential Anal (2024). https://doi.org/10.1007/s11118-024-10139-3

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