Commun. Korean Math. Soc. 2007; 22(4): 553-564
Printed December 1, 2007
Copyright © The Korean Mathematical Society.
Bong Jin Kim, Byoung Soo Kim
Daejin University, Seoul National University of Technology
In this paper we establish several integration by parts formulas involving integral transforms of functionals of the form $F(y)=f(\langle \theta_1,y\rangle,\ldots,\langle \theta_n,y\rangle)$ for s-a.e. $y\in C_0 [0, T]$, where $\langle\theta,y\rangle$ denotes the Riemann-Stieltjes integral $\int_0^T \theta(t)\,dy(t)$.
Keywords: integral transform, convolution product, first variation, integration by parts formula, Wiener integral
MSC numbers: 28C20
2004; 19(1): 75-92
2006; 21(1): 75-88
2006; 21(1): 117-133
2007; 22(1): 75-90
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd