On weights which admit the reproducing kernel of Bergman type

DOI10.1155/S0161171292000012zbMath0749.32019OpenAlexW2138314102MaRDI QIDQ1186320

Zbigniew Pasternak-Winiarski

Publication date: 28 June 1992

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46712

zbMATH Keywords

Bergman spacesanalytic functionsreproducing kernelsbounded point evaluations

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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The reduced Bergman kernel and its properties ⋮ Weighted Szegő Kernels ⋮ Three types of reproducing kernel Hilbert spaces of polynomials ⋮ Regularity of the \(p\)-Bergman kernel ⋮ Reproducing kernels and minimal solutions of elliptic equations ⋮ Equivalent Bergman spaces with inequivalent weights ⋮ On weights which admit reproducing kernel of Szegő type ⋮ The weighted Bergman kernel and the Green's function ⋮ On boundary behaviour of symplectomorphisms ⋮ On weights which admit harmonic Bergman kernel and minimal solutions of Laplace's equation

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