Open Access
VOL. 44 | 2006 On a covering property of rarefied sets at infnity in a cone
Chapter Author(s) Ikuko Miyamoto, Hidenobu Yosida
Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki
Adv. Stud. Pure Math., 2006: 233-244 (2006) DOI: 10.2969/aspm/04410233

Abstract

This paper gives a quantitative property of rarefied sets at $\infty$ of a cone. The proof is based on the fact in which the estimations of Green potential and Poisson integral with measures are connected with a kind of densities of the measures modified from the measures.

Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1119.31003
MathSciNet: MR2277837

Digital Object Identifier: 10.2969/aspm/04410233

Subjects:
Primary: 31B05

Keywords: cone , rarefied set

Rights: Copyright © 2006 Mathematical Society of Japan

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