Banach spaces of bounded Dirichlet finite harmonic functions on Riemann surfaces

Kodai Mathematical Journal

Mitsuru Nakai¹ 

[1] Department of Mathematics Nagoya Institute of Technology

关键词: Banach space;    capacity;    Dirichlet finite;    harmonic function;    Hilbert space;    reflexive;    Riemann surface;    Royden harmonic boundary;    separable;   

DOI  :  10.2996/kmj/1364562715

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(14)The Banach space of bounded Dirichlet finite harmonic functions on an open Riemann surface will be seen to be reflexive and also separable if and only if the underlying Riemann surface does not carry any unbounded Dirichlet finite harmonic function.

【 授权许可】

Unknown