Open Access
Translator Disclaimer
January, 2012 Surfaces carrying sufficiently many Dirichlet finite harmonic functions that are automatically bounded
Mitsuru NAKAI
J. Math. Soc. Japan 64(1): 201-229 (January, 2012). DOI: 10.2969/jmsj/06410201

Abstract

It is shown that there exists a Riemann surface on which every Dirichlet finite harmonic function is automatically bounded and yet the linear dimension of the linear space of Dirichlet finite harmonic functions on it is infinite.

Citation

Download Citation

Mitsuru NAKAI. "Surfaces carrying sufficiently many Dirichlet finite harmonic functions that are automatically bounded." J. Math. Soc. Japan 64 (1) 201 - 229, January, 2012. https://doi.org/10.2969/jmsj/06410201

Information

Published: January, 2012
First available in Project Euclid: 26 January 2012

zbMATH: 1264.30027
MathSciNet: MR2879742
Digital Object Identifier: 10.2969/jmsj/06410201

Subjects:
Primary: 30F20
Secondary: 30F15 , 30F25 , 31A15

Keywords: anticonformal pasting , capacity , Dirichlet finite , essentially positive , grafted surface , harmonic measure , Hyperbolic , parabolic‎ , quasibounded , Royden harmonic boundary , Sario-Tôki disc , Wiener harmonic boundary

Rights: Copyright © 2012 Mathematical Society of Japan

JOURNAL ARTICLE
29 PAGES


SHARE
Vol.64 • No. 1 • January, 2012
Back to Top