The Royden boundary of a Riemannian manifold

Glasner, Moses; Katz, Richard

doi:10.1215/ijm/1256053085

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2015

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“…In [9] Royden introduced the harmonic boundary of a Riemann surface R, also see Chapter III of [10]. It was also shown in [9] that a bounded harmonic function with finite Dirichlet integral on a open Riemann surface R can be determined by its behavior on the harmonic boundary of R. The results for Riemann surfaces were extended to noncompact orientable Riemannian manifolds in [2]. In [6] the concept of the harmonic boundary was generalized to the p-harmonic boundary.…”

Section: Introductionmentioning

confidence: 99%