Year: 1967
Type: article
Abstract: Capacities of ideal boundary components of Riemannian spaces are introduced to measure their magnitude with respect to harmonic functions on the spaces.The main purpose of this paper is to find zero capacity criteria.The modular criterion, well-known for Riemann surfaces, i.e. for 2-dimensional Riemannian spaces, is shown to be valid for general Riemannian spaces.The so-called metric criterion, however, brings forth entirely new aspects for higher dimensions.
Source: Pacific Journal of Mathematics
Author: Wellington Ow
Institution: University of California, Los Angeles
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1965817121