Natural limits for harmonic and superharmonic functions-Reference-Cited by-同舟云学术

Natural limits for harmonic and superharmonic functions

Published:1976 Issue:2 Volume:224 Page:381-397
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Diederich J. R.

Abstract

In this paper it is shown that Fatou’s theorem holds for superharmonic functions in certain Liapunov domains if mean continuous limits are used in place of nontangential limits for which Fatou’s theorem fails. Also, existence of mean continuous limits is established for certain semi-linear elliptic equations in Liapunov domains.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1976-224-02/S0002-9947-1976-0419796-9/S0002-9947-1976-0419796-9.pdf

Reference19 articles.

1. On the existence of non-tangential limits of subharmonic functions;Arsove, Maynard;J. London Math. Soc.,1967

2. On the behaviour of harmonic functions at the boundary;Calderón, A. P.;Trans. Amer. Math. Soc.,1950

3. On the existence of boundary values for harmonic functions in several variables;Carleson, Lennart;Ark. Mat.,1962

4. Van Nostrand Mathematical Studies, No. 13;Carleson, Lennart,1967

5. Representation of superharmonic functions mean continuous at the boundary of the unit ball;Diederich, J. R.;Pacific J. Math.,1974

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of various boundary limits of Beppo Levi functions of higher order;Hiroshima Mathematical Journal;1979-01-01