A generalized area theorem for harmonic functions on hermitian hyperbolic space

Putz, Robert Byrne

doi:10.1090/S0002-9947-1972-0298049-2

A generalized area theorem for harmonic functions on hermitian hyperbolic space
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by Robert Byrne Putz

Trans. Amer. Math. Soc. 168 (1972), 243-258

DOI: https://doi.org/10.1090/S0002-9947-1972-0298049-2

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Abstract:

Let $D$ be the noncompact realization of hermitian hyperbolic space. We consider functions on $D$ 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.

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