Eigenvalue estimates of positive integral operators with analytic kernels

DOI10.1007/s12044-010-0032-1zbMath1205.45003OpenAlexW1963581542MaRDI QIDQ601202

Yüksel Soykan

Publication date: 3 November 2010

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-010-0032-1

zbMATH Keywords

positive integral operatorsHardy spaceseigenvalue problemseigenvalue estimatesconformal mapSmirnov classesAhlfors regular curvesanalytic kernelsclosed analytic curvesspecial kernels

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Integral operators (45P05) Integral operators (47G10) Eigenvalue problems for integral equations (45C05) Kernel functions in one complex variable and applications (30C40)

Cites Work

• Factorization theorems for different classes of analytic functions in multiply connected domains
• Opérateurs intégraux singuliers sur certaines courbes du plan complexe
• On equivalent characterisation of elements of Hardy and Smirnov spaces
• Asymptotic estimates of the eigenvalues of certain positive Fredholm operators
• Equivalences of Positive Integral Operators with Rational Kernels
• Some Boundary Properties of the Riemann Mapping Function
• A Correction to "Some Boundary Properties of the Riemann Mapping Function"
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