Hilbert spaces of holomorphic functions on generalized Cartan-Hartogs domains

Author: ZhiMing Feng  

Publisher: Taylor & Francis Ltd

ISSN: 1747-6933

Source: Complex Variables and Elliptic Equations, Vol.58, Iss.3, 2013-03, pp. : 431-450

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Abstract

In this article, we introduce invariant Hilbert spaces of holomorphic functions on generalized Cartan-Hartogs domains, whose reproducing kernels can be explicitly expressed, and provide integral formulae for the invariant inner products.