Integrability of superharmonic functions and subharmonic functions-Reference-Cited by-同舟云学术

Integrability of superharmonic functions and subharmonic functions

Published:1994 Issue:1 Volume:120 Page:109-117
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 apply the coarea formula to obtain integrability of superharmonic functions and nonintegrability of subharmonic functions. The results involve the Green function. For a certain domain, say Lipschitz domain, we estimate the Green function and restate the results in terms of the distance from the boundary.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1994-120-01/S0002-9939-1994-1169019-7/S0002-9939-1994-1169019-7.pdf

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