Boundary values of HBD-functions on harmonic boundaries of Riemann surfaces
type: Item
instance of: scholarly article
title: Boundary values of HBD-functions on harmonic boundaries of Riemann surfaces
zbMATH Open document ID: 0672.31013
author: Hisashi Ishida
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: Let R be an open Riemann surface which admits Green functions. The author introduces some new classes of harmonic bounded continuous Dirichlet functions on R. He describes some results on the boundary values of functions in these classes on connected components of the harmonic boundary of R.
Mathematics Subject Classification ID: 31C12
Mathematics Subject Classification ID: 30F15
zbMATH DE Number: 4099658
zbMATH Keywords: Riemann surface
zbMATH Keywords: Green functions
zbMATH Keywords: harmonic
zbMATH Keywords: Dirichlet functions
zbMATH Keywords: boundary values
reviewed by: Wojciech Okrasiński
MaRDI profile type: Publication
full work available at URL: pjaa.64.181
OpenAlex ID: W1992295423
cites work: The Bilinear Relation on Open Riemann Surfaces
cites work: On Semi-Parabolic Riemann Surfaces
cites work: Q5593095
cites work: Q5719551
cites work: Harmonic Dirichlet functions and the components of harmonic boundaries of Riemann surfaces
cites work: Characterizations of canonical differentials
cites work: Some remarks on boundary values of harmonic functions with finite Dirichlet integrals
cites work: Q5597712
DOI: 10.3792/PJAA.64.181
description: scientific article; zbMATH DE number 4099658