On weights which admit reproducing kernel of Szegő type

DOI10.3103/S1068362320050064zbMath1458.32006OpenAlexW3100106769MaRDI QIDQ2227010

Tomasz Łukasz Żynda

Publication date: 9 February 2021

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362320050064

zbMATH Keywords

reproducing kernel Hilbert spaceSzegő kerneladmissible weight

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (3)

Three types of reproducing kernel Hilbert spaces of polynomials ⋮ Continuous dependence of Szegő kernel on a weight of integration ⋮ Reproducing kernels and minimal solutions of elliptic equations

Cites Work

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• On the Szegő metric
• Comparison of the Bergman and Szegö kernels
• On reproducing kernels and quantization of states
• On weights which admit the reproducing kernel of Bergman type
• A simplification and extension of Fefferman's theorem on biholomorphic mappings
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

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