A lower estimate for the norm of the Kerzman-Stein operator

DOI10.1216/jiea/1192628618zbMath1137.45006OpenAlexW2027997894MaRDI QIDQ2476483

Michael Bolt

Publication date: 20 March 2008

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1192628618

zbMATH Keywords

normeigenvaluesingular integralsCauchy kernelconformal mapspectral theoremKerzman-Stein operator

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Integral operators (45P05) Eigenvalue problems for integral equations (45C05) Integral equations with kernels of Cauchy type (45E05)

Related Items

Spectrum of the Kerzman-Stein operator for a family of smooth regions in the plane ⋮ The Leray transform: factorization, dual \textit{CR} structures, and model hypersurfaces in \(\mathbb{CP}^2\) ⋮ The Kerzman–Stein operator for piecewise continuously differentiable regions

Cites Work

• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• The Cauchy and the Szegoe kernels on multiply connected regions
• Once more on algebras generated by two projections
• Spectrum of the Kerzman-Stein operator for model domains
• Spectrum of the Kerzman-Stein operator for the ellipse
• The Fredholm eigenvalues of plane domains
• Fredholm eigenvalues and quasiconformal mapping
• An extremal problem for the Fredholm eigenvalues
• An Integral Equation Associated with the Szegö Kernel Function
• Szego projection versus potential theory for non-smooth planar domains
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