Spectral asymptotic of Cauchy’s operator on harmonic Bergman space for a simply connected domain

DOI10.1080/17476933.2017.1340275zbMath1393.31004OpenAlexW2689275522MaRDI QIDQ5374212

Djordjije Vujadinović

Publication date: 9 April 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2017.1340275

zbMATH Keywords

eigenvaluesconformal mappingsCauchy operatorsingular numbers\(L^2\)-space of harmonic functions

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in two dimensions (31A10) Bergman spaces and Fock spaces (30H20)

Related Items (2)

The exact spectral asymptotic of the logarithmic potential on harmonic function space ⋮ Spectral asymptotic of the Newtonian potential in \(L^2 (\mathbb{R}^d, d \mu_{\alpha})\)

Cites Work

• Spectral estimates of Cauchy's transform in \(L^ 2(\Omega{})\)
• Spectral Properties of the Cauchy Operator and Its Product with Bergman's Projection on a Bounded Domain
• Spectral estimates of Cauchy's operator on Bergman space of harmonic functions
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