On the uniform integrability of the Radon-Nikodym densities for Wiener measure (Q1281652)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the uniform integrability of the Radon-Nikodym densities for Wiener measure |
scientific article; zbMATH DE number 1268060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uniform integrability of the Radon-Nikodym densities for Wiener measure |
scientific article; zbMATH DE number 1268060 |
Statements
On the uniform integrability of the Radon-Nikodym densities for Wiener measure (English)
0 references
2 January 2001
0 references
The paper considers nonlinear transformations of the abstract Wiener space \((W,H,\mu)\). Especially, the invertibility of the mapping \(T:W\to{W}:w\mapsto{w+u(w)}\), where \(u:W\to{H}\) is ``small'', is in the center of the authors' interest. The paper presents a set of conditions under which the mapping \(T\) is invertible, the Radon-Nikodym density of \(T\) and of its inverse, both considered as random variables, can be evaluated. The results are applied for the description of a flow fulfilling a particular differential equation.
0 references
separable Banach space
0 references
separable Hilbert space
0 references
abstract Wiener space
0 references
Sobolev spaces of Wiener functionals
0 references
Radon-Nikodym derivative
0 references
flow of transformations
0 references
0 references
0 references
