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A Generalized Area Theorem for Harmonic Functions on Hermitian Hyperbolic Space

A Generalized Area Theorem for Harmonic Functions on Hermitian Hyperbolic Space

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.