Spectral estimates of Cauchy's transform in \(L^ 2(\Omega{})\)

DOI10.1007/BF01203120zbMath0779.47015MaRDI QIDQ1803927

Dmitry Khavinson, Jonathan Arazy

Publication date: 29 June 1993

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Cauchy transformsingular numbersSchatten-von Neumann classHilbert-Schmidt operatornormalized area measurecompact opertor

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Related Items (14)

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 ⋮ Spectral properties of the simple layer potential type operators ⋮ The exact spectral asymptotic of the logarithmic potential on harmonic function space ⋮ Upper and lower bounds for the Hilbert-Schmidt norm of a potential operator ⋮ Isoperimetric inequalities for the logarithmic potential operator ⋮ Spectral properties of weighted Cauchy singular integral transform on S-poly-Bargmann spaces ⋮ Regularized trace of the Cauchy transform ⋮ Spectral asymptotic of Cauchy’s operator on harmonic Bergman space for a simply connected domain ⋮ The solution operator of the inhomogeneous Dirichlet problem in the unit ball ⋮ Spectral estimates of Cauchy's operator on Bergman space of harmonic functions ⋮ A note on isoperimetric inequalities for logarithmic potentials ⋮ Spectral properties of classical integral operators and geometry ⋮ Spectral asymptotic of the Newtonian potential in \(L^2 (\mathbb{R}^d, d \mu_{\alpha})\)

Cites Work

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• On the Hausdorff-Young theorem for integral operators
• Spectral Properties of Some Integral Operators Arising in Potential Theory

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