A Generalized Area Theorem for Harmonic Functions on Hermitian Hyperbolic Space

Open Access

1 June 1972

journal article
Published by JSTOR in Transactions of the American Mathematical Society

Vol. 168, 243-258
https://doi.org/10.2307/1996173

Abstract

Let be the noncompact realization of hermitian hyperbolic space. We consider functions on which are harmonic with respect to the Laplace-Beltrami operator. The principal result is a generalized area theorem which gives a necessary and sufficient condition for the admissible convergence of harmonic functions.

Keywords

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