PARTS FORMULAS INVOLVING INTEGRAL TRANSFORMS ON FUNCTION SPACE

Title & Authors
PARTS FORMULAS INVOLVING INTEGRAL TRANSFORMS ON FUNCTION SPACE
Kim, Bong-Jin; Kim, Byoung-Soo;

Abstract
In this paper we establish several integration by parts formulas involving integral transforms of functionals of the form $F(y)=f(<{\theta}_1,\;y>),\ldots,<{\theta}_n,\;y>)$ for s-a.e. $\small{y{\in}C_0[0,\;T]}$, where $<{\theta},\;y>$ denotes the Riemann-Stieltjes integral $\small{{\int}_0^T{\theta}(t)\;dy(t).}$
Keywords
Integral transform;convolution Product;first variation;integration by parts formula;Wiener integral;
Language
English
Cited by
1.
PARTS FORMULAS INVOLVING CONDITIONAL INTEGRAL TRANSFORMS ON FUNCTION SPACE,Kim, Bong Jin;Kim, Byoung Soo;

Korean Journal of Mathematics, 2014. vol.22. 1, pp.57-69
1.
PARTS FORMULAS INVOLVING CONDITIONAL INTEGRAL TRANSFORMS ON FUNCTION SPACE, Korean Journal of Mathematics, 2014, 22, 1, 57
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