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Approximation by (Pluri) Subharmonic Functions: Fusion and Localization

Published online by Cambridge University Press:  20 November 2018

P.M. Gauthier
P.M. Gauthier*
Affiliation:
Mathématiques et statistique, Université de Montréal, C.R 6I28-A Montréal, Québec, H3C 3J7
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Abstract

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Let u1 and u2 be subharmonic (plurisubharmonic) on overlapping sets K1 and K2 respectively. We seek to approximate u1 and u2 simultaneously by a single subharmonic (plurisubharmonic) function u.

Keywords

Primary: 32F05secondary: 31B05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 5 , 01 October 1992 , pp. 941 - 950
Copyright
Copyright © Canadian Mathematical Society 1992

References

[BB] Bagby, T. and Blanchet, P., Uniform harmonic approximation on Riemannian manifolds, J. d'Analyse Math., to appear.Google Scholar
[BH] Bliedtner, J. and Hansen, W., Simplicial cones in potential theory II (approximation theorems), Invent. Math.. 46(1978), 255–275.Google Scholar
[FW] Fornaess, J.E. and Wiegerinck, J., Approximation of plurisubharmonic functions, Ark. Math.. 27(1989), 257–272.Google Scholar
[G] Gauthier, P.M., Subharmonic extensions and approximations, preprint.Google Scholar
[GH] Gauthier, P.M. and Hengartner, W., Approximation uniforme qualitative sur des ensembles non bornés, Presses Univ. Montréal, 1982.Google Scholar
[GL] Gauthier, P.M. and Ladouceur, S., Uniform approximation and fine potential theory, J. Approx. Theory, to appear.Google Scholar
[R] Roth, A., Uniform and tangential approximation by meromorphicfunctions on closed sets, Canad. J. Math.. 28(1976), 104–111.Google Scholar
[WZ] Wilson, J.M. and Zwick, D., Best approximation by subharmonic functions, preprint.Google Scholar