Spectral Properties of the Cauchy Operator and Its Product with Bergman's Projection on a Bounded Domain

DOI10.1112/S0024611598000367zbMath0914.47025MaRDI QIDQ4400035

Milutin R. Dostanić

Publication date: 2 August 1998

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectrumBergman projectionCauchy integral operatorlogarithmic potential operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on function spaces (general) (47B38)

Related Items (9)

Spectral properties of the Cauchy transform on \(L_2(\mathbb C,e^{-|z|^2}\lambda(z))\) ⋮ Estimate of the second term in the spectral asymptotic of Cauchy transform ⋮ The norm and regularized trace of the Cauchy transform ⋮ Spectral properties of the simple layer potential type operators ⋮ The exact spectral asymptotic of the logarithmic potential on harmonic function space ⋮ 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 ⋮ \(L^p\)-theory for Cauchy-transform on the unit disk ⋮ Spectral asymptotic of the Newtonian potential in \(L^2 (\mathbb{R}^d, d \mu_{\alpha})\)

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