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학술저널

THE H1-STIELTJES INTEGRAL OF BANACH-VALUED FUNCTIONS

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In this paper, we de&macr;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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