The exact spectral asymptotic of the logarithmic potential on harmonic function space

DOI10.2298/FIL1906701VzbMath1496.46018MaRDI QIDQ5080794

Djordjije Vujadinović

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

singular numbersharmonic Bergman projectionlogarithmic potential type of operator

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Spectral estimates of Cauchy's transform in \(L^ 2(\Omega{})\)
• The Cauchy Transform on Bounded Domains
• Spectral Properties of Some Integral Operators Arising in Potential Theory
• Spectral Properties of the Cauchy Operator and Its Product with Bergman's Projection on a Bounded Domain
• Spectral asymptotic of Cauchy’s operator on harmonic Bergman space for a simply connected domain
• Spectral estimates of Cauchy's operator on Bergman space of harmonic functions

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