Open Access
Summer 2011 Integration of vector-valued functions with respect to vector measures defined on $δ$-rings
N. D. Chakraborty, Santwana Basu
Illinois J. Math. 55(2): 495-508 (Summer 2011). DOI: 10.1215/ijm/1359762399

Abstract

This paper extends the theory of scalar-valued integrable functions with respect to vector measures defined on $δ$-rings to the case of vector-valued tensor integrable functions with respect to vector measures defined on $δ$-rings. This paper also generalizes some results of G. F. Stefánsson for tensor integration theory of vector-valued functions with respect to vector measures defined on $σ$-algebras.

Citation

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N. D. Chakraborty. Santwana Basu. "Integration of vector-valued functions with respect to vector measures defined on $δ$-rings." Illinois J. Math. 55 (2) 495 - 508, Summer 2011. https://doi.org/10.1215/ijm/1359762399

Information

Published: Summer 2011
First available in Project Euclid: 1 February 2013

zbMATH: 1297.46032
MathSciNet: MR3020693
Digital Object Identifier: 10.1215/ijm/1359762399

Subjects:
Primary: 28B05 , 46G10
Secondary: 46B99

Rights: Copyright © 2011 University of Illinois at Urbana-Champaign

Vol.55 • No. 2 • Summer 2011
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