An extension of the Vitali-Hahn-Saks Theorem
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- by Onésimo Hernández-Lerma and Jean B. Lasserre PDF
- Proc. Amer. Math. Soc. 124 (1996), 3673-3676 Request permission
Correction: Proc. Amer. Math. Soc. 126 (1998), 949-949.
Abstract:
The Vitali-Hahn-Saks theorem on the absolute continuity of the setwise limit of a sequence of bounded measures is extended to allow unbounded measures and convergence of integrals of continuous functions vanishing at infinity.References
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Additional Information
- Onésimo Hernández-Lerma
- Affiliation: Departamento de Matemáticas, CINVESTAV-IPN, Apdo. Postal 14-740, México D.F. 07000, Mexico
- Email: ohernand@math.cinvestav.mx.
- Jean B. Lasserre
- Affiliation: LAAS-CNRS, 7 Avenue du Colonel Roche, 31077 Toulouse Cédex, France
- MR Author ID: 110545
- Email: lasserre@laas.fr
- Received by editor(s): January 24, 1995
- Additional Notes: The research of the first author was partially supported by a visiting professorship at Paul Sabatier University, Toulouse, France, and by CONACYT Grant 1332-E9206
This research was partially supported by the CNRS (France)- CONACYT (México) Scientific Cooperation Program. - Communicated by: Christopher D. Sogge
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3673-3676
- MSC (1991): Primary 28A33; Secondary 28C15
- DOI: https://doi.org/10.1090/S0002-9939-96-03922-6
- MathSciNet review: 1401743