Boundary limits of Green potentials of general order-Reference-Cited by-同舟云学术

Boundary limits of Green potentials of general order

Published:1987 Issue:1 Volume:101 Page:131-135
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mizuta Yoshihiro

Abstract

Our aim in this note is to discuss the boundary limits of Green potentials in a half-space of the n n -dimensional euclidean space. As a corollary, our result below includes the recent result of Stoll [5] concerning the boundary limits of superharmonic functions along curves tending to the boundary.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-101-01/S0002-9939-1987-0897083-5/S0002-9939-1987-0897083-5.pdf

Reference5 articles.

1. Tangential boundary behavior of Green potentials and contractive properties of 𝐿^{𝑝}-capacities;Aikawa, Hiroaki;Tokyo J. Math.,1986

2. Le théorème du minimax et la théorie fine du potentiel;Fuglede, Bent;Ann. Inst. Fourier (Grenoble),1965

3. Boundary behavior of Green potentials;Luecking, Daniel H.;Proc. Amer. Math. Soc.,1986

4. Minimally semifine limits of Green potentials of general order;Mizuta, Yoshihiro;Hiroshima Math. J.,1982

5. Boundary limits of Green potentials in the unit disc;Stoll, Manfred;Arch. Math. (Basel),1985

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