International Journal of Mathematics and Mathematical Sciences

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International Journal of Mathematics and Mathematical Sciences / 2002 / Article

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Volume 31 |Article ID 430612 | 7 pages | https://doi.org/10.1155/S0161171202106041

Sur les fonctions séparément excessives

Mohamed El Kadiri1

1B.P. 726, Salé-Tabriquet, Salé, Morocco

Received07 Jul 2001
Revised28 Dec 2001

Abstract

On considère deux résolvantes basiques sur deux espaces mesurables (E,ℰ) et (F,ℱ) associées à des semi-groupes de noyaux (Pt) et (Qt). On montre que si E et F sont radoniens, alors toute fonction sur E×F séparément excessive pour les semi-groupes (P t) et (Q t) est excessive pour le semi-groupe (P t⊗Q t) (ou sa résolvante), ce qui généralise un résultat bien connu de Cairoli (1967).

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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