Positive harmonic functions of finite order in a Denjoy type domain-Reference-Cited by-同舟云学术

Positive harmonic functions of finite order in a Denjoy type domain

Published:2003-04-24 Issue:12 Volume:131 Page:3873-3881
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aikawa Hiroaki

Abstract

We introduce a Denjoy type domain and prove that the dimension of the cone of positive harmonic functions of finite order in the domain with vanishing boundary values is one or two, whenever the boundary is included in a certain set.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2003-131-12/S0002-9939-03-06977-6/S0002-9939-03-06977-6.pdf

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