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2002/2003 Controlled convergence theorem for strong variational Banach-valued multiple integrals.
Lorna I. Paredes, Chew Tuan Seng, Lee Peng Yee
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Real Anal. Exchange 28(2): 579-592 (2002/2003).


In this paper, a controlled convergence theorem is proved for \(n\)-dimensional strong variational Banach-valued integrals, also referred herein as Banach-valued Multiple Integrals. The methods used in the proof for one dimensional case given in [15], in which linearization was used, cannot be applied for the higher dimensional case. Instead, we follow the ideas in [17, Chapter 5, Section 21; 4; 18].


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Lorna I. Paredes. Chew Tuan Seng. Lee Peng Yee. "Controlled convergence theorem for strong variational Banach-valued multiple integrals.." Real Anal. Exchange 28 (2) 579 - 592, 2002/2003.


Published: 2002/2003
First available in Project Euclid: 20 July 2007

zbMATH: 1059.28013
MathSciNet: MR2010339

Primary: 26A39

Keywords: Banach-valued integral , controlled convergence theorem , Henstock's integral

Rights: Copyright © 2002 Michigan State University Press

Vol.28 • No. 2 • 2002/2003
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