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Compact Multipolar Sets

Published online by Cambridge University Press:  20 November 2018

Kohur Gowrisankaran  and
Ramasamy Jesuraj
Kohur Gowrisankaran
Affiliation:
McGill University Montreal, Quebec
Ramasamy Jesuraj
Affiliation:
Digital Computer Corporation Littleton, Mass. U. S. A
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Abstract

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It is proved that a compact subset of a finite product of Brelot harmonic spaces is multipolar if it is a locally multipolar set.

Résumé

Résumé

On démontre que un ensemble compact dans un produit fini des espaces harmoniques de Brelot est multipolar si l'ensemble est localement multipolar.

Keywords

31D05.Multipolarn-superharmonicBrelot harmonic spaces.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 81 - 83
Copyright
Copyright © Canadian Mathematical Society 1992

References

[J] Jesuraj, R., Continuous functions on multipolar sets, Proc. AMS 99(1987),331–338.Google Scholar
[S] Singman, D., Exceptional sets in a product of harmonic spaces and applications. Ph.D. Thesis, McGill Univ. Montreal, 1980.Google Scholar