Parts formulas involving integral transforms on function space

Bong Jin Kim; Byoung Soo Kim

doi:10.4134/CKMS.2007.22.4.553

Parts formulas involving integral transforms on function space

Bong Jin Kim, Byoung Soo Kim

School of Natural Sciences

Daejin University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper we establish several integration by parts formulas involving integral transforms of functionals of the form F(y) = f((θ₁, y),..., <θ_n, y>) for s-a.e. y ∈ C₀[0, T], where (θ, y) denotes the Riemann-Stieltjes integral ∫₀^T θ(t) dy(t).

Original language	English
Pages (from-to)	553-564
Number of pages	12
Journal	Communications of the Korean Mathematical Society
Volume	22
Issue number	4
DOIs	https://doi.org/10.4134/CKMS.2007.22.4.553
State	Published - 2007

Keywords

Convolution product
First variation
Integration by parts formula
Ntegral transform
Wiener integral

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10.4134/CKMS.2007.22.4.553

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title = "Parts formulas involving integral transforms on function space",

abstract = "In this paper we establish several integration by parts formulas involving integral transforms of functionals of the form F(y) = f((θ1, y),..., <θn, y>) for s-a.e. y ∈ C0[0, T], where (θ, y) denotes the Riemann-Stieltjes integral ∫0T θ(t) dy(t).",

keywords = "Convolution product, First variation, Integration by parts formula, Ntegral transform, Wiener integral",

author = "Kim, \{Bong Jin\} and Kim, \{Byoung Soo\}",

year = "2007",

doi = "10.4134/CKMS.2007.22.4.553",

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AU - Kim, Bong Jin

AU - Kim, Byoung Soo

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N2 - In this paper we establish several integration by parts formulas involving integral transforms of functionals of the form F(y) = f((θ1, y),..., <θn, y>) for s-a.e. y ∈ C0[0, T], where (θ, y) denotes the Riemann-Stieltjes integral ∫0T θ(t) dy(t).

AB - In this paper we establish several integration by parts formulas involving integral transforms of functionals of the form F(y) = f((θ1, y),..., <θn, y>) for s-a.e. y ∈ C0[0, T], where (θ, y) denotes the Riemann-Stieltjes integral ∫0T θ(t) dy(t).

KW - Convolution product

KW - First variation

KW - Integration by parts formula

KW - Ntegral transform

KW - Wiener integral

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U2 - 10.4134/CKMS.2007.22.4.553

DO - 10.4134/CKMS.2007.22.4.553

M3 - Article

AN - SCOPUS:57649146542

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VL - 22

SP - 553

EP - 564

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 4

ER -

Parts formulas involving integral transforms on function space

Abstract

Keywords

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