Estimates on the mean growth of $H^p$ functions in convex domains of finite type

DOI10.1090/S0002-9939-03-07012-6zbMath1023.32004OpenAlexW1580898928MaRDI QIDQ4804093

Hong Rae Cho

Publication date: 10 April 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07012-6

zbMATH Keywords

reproducing kernelconvex domains of finite typemean growth of \(H^p\) functions

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Finite-type domains (32T25)

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Cites Work

• Estimates for derivatives of holomorphic functions in pseudoconvex domains
• Support functions for convex domains of finite type
• Hölder estimates on convex domains of finite type
• Estimates on the Bergman kernels of convex domains
• Zero varieties for the Nevanlinna class on all convex domains of finite type
• Unnamed Item