Abstract
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].
Citation
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.
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