Hardy and Bergman spaces on hyperconvex domains and their composition operators

DOI10.1512/iumj.2008.57.3360zbMath1160.32008arXivmath/0703238OpenAlexW2130495204MaRDI QIDQ3596782

Evgeny A. Poletsky, Michael I. Stessin

Publication date: 9 February 2009

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

Full work available at URL: https://arxiv.org/abs/math/0703238

zbMATH Keywords

Bergman spacesHardy spacescomposition operatorNevanlinna counting functionhyperconvex domains in the space of several complex variables

Mathematics Subject Classification ID

Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bergman spaces of functions in several complex variables (32A36) Holomorphically convex complex spaces, reduction theory (32E05)

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