Surface integrals in Hilbert spaces for general measures and applications
type: Item
instance of: scholarly article
title: Surface integrals in Hilbert spaces for general measures and applications
zbMATH Open document ID: 1436.46044
DOI: 10.1007/978-3-319-63453-1_3
author: Guiseppe Da Prato
publication date: 2018-04-05T00:00:00Z
review text: Surface integrals in a Hilbert space are useful tools in stochastic analysis, including in the author's recent studies on Dirichlet problems in Hilbert space [with \textit{A. Lunardi}, J. Funct. Anal. 259, No. 10, 2642--2672 (2010; Zbl 1204.35172); J. Math. Pures Appl. (9) 99, No. 6, 741--765 (2013; Zbl 1293.35359)] and Neumann problems [with \textit{A. Lunardi}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 1102--1123 (2015; Zbl 1330.35514)]. In this paper, the author presents a construction of a surface measure under a local Malliavin condition. Also, integration by parts formulas and some examples are given. The \(I_1\) in the last displayed equation in Example 3.8 may be a misprint of \(I_2\). For the entire collection see [Zbl 1386.70002].
reviewed by: Byoung Soo Kim
Mathematics Subject Classification ID: 46G12
Mathematics Subject Classification ID: 60B05
zbMATH DE Number: 6856133
zbMATH Keywords: Brownian motion
zbMATH Keywords: surface integrals
zbMATH Keywords: probability measure in Hilbert spaces
MaRDI profile type: Publication
full work available at URL: 978-3-319-63453-1 3
OpenAlex ID: W2770351176
description: scientific article; zbMATH DE number 6856133