Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T21:15:22.474Z Has data issue: false hasContentIssue false
  • English
  • Français

A Maximum Principle for Subharmonic and Plurisubharmonic Functions

Published online by Cambridge University Press:  20 November 2018

Chen Huaihui  and
P. M. Gauthier
Chen Huaihui
Affiliation:
Mathematics Department Nanjing Normal University Nanjing, China
P. M. Gauthier
Affiliation:
Département de mathématiques et de statistique Université de Montréal, C.P. 6128 Montréal, Quebec H3C 3J7
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We give a simple description of boundary sets which may be ignored in calculating the maximum of subharmonic or plurisubharmonic functions.

Keywords

30C8031B0531C1031C12.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 34 - 39
Copyright
Copyright © Canadian Mathematical Society 1992

References

1. Bagby, T. and Blanchet, P., Uniform harmonic approximation on Riemannian manifolds, J. d'Analyse Math., (to appear).Google Scholar
2. Bagby, T. and Blanchet, P., Encyclopedic Dictionary of Mathematics, 2nd éd., MIT Press, Cambridge, 1987.Google Scholar
3. Gauthier, P. M., Subharmonic andplurisubharmonic extensions and approximations, manuscript.Google Scholar
4. Gauthier, P. M., Grothmann, R., and Hengartner, W., Asymptotic maximum principles for subharmonic and plurisubharmonic functions, Can. J. Math. 40(1988),477–486.Google Scholar
5. R. Sh. Sahakian, On a generalization of the maximum principle (Russian), Izv. Akad. Nauk Arm. SSR Mat. 22(1987),94–101 ; translation in Soviet J. Contemporary Math. Anal. 22(1987),94–102.Google Scholar