Bergman versus Szego via conformal mapping

DOI10.1512/iumj.2009.58.3841zbMath1170.30017OpenAlexW1983199100MaRDI QIDQ3628801

Kenneth D. Koenig, Loredana Lanzani

Publication date: 26 May 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2009.58.3841

zbMATH Keywords

integral operatorBergman projectorSzegő projector

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of conformal mappings (30C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Kernel functions in one complex variable and applications (30C40)

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Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness ⋮ Some results for the Szegő and Bergman projections on planar domains ⋮ Comparison of the Bergman and Szegö kernels ⋮ On Regularity and Irregularity of Certain Holomorphic Singular Integral Operators

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