학술저널
THE H1-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 21, No. 1
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2008.0349 - 56 (8 pages)
- 0
In this paper, we de¯ne the H1 -Stieltjes integral of Banach-valued functions which is a generalization of real-valued H1 - Stieltjes integral and investigate some properties of H1 - Stielt-jes integral. Also we show that if f : [a; b] ! X be a func- tion with dimX < 1, then f 2 H1LS([a; b];X; ??) if and only if f 2 H1S([a; b];X; ??).
1. Introduction and preliminaries
2. The H1 - Stieltjes integral of Banach-valued functions
3. The H1L - Stieltjes integral of Banach-valued functions
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