Flows associated to adapted vector fields on the Wiener space
نویسندگان
چکیده
منابع مشابه
Flows Associated to Tangent Processes on the Wiener Space
We prove, under certain regularity assumptions on the coefficients, that tangent processes (namely semimartingales dξτ = adxτ + bdτ where a is an antisymmetric matrix) generate flows on the classical Wiener space. Main applications of the result can be found in the study of the geometry of path spaces.
متن کاملnew semigroup compactifications via the enveloping semigroups of associated flows
this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.
15 صفحه اولOn flows of H-vector fields on the circle
In this paper we study the regularity of flow maps of H-vector fields on the circle in terms of fractional Sobolev spaces. This problem is motivated by the understanding of the geometry of Bers’s universal Teichmüller space. Bers’s universal Teichmüller space, classically denoted by T (1), plays a significant role in Teichmüller theory, as it contains as complex submanifolds all the finite-dime...
متن کاملSkorohod stochastic integration with respect to non-adapted processes on Wiener space
Abstract We define a Skorohod type anticipative stochastic integral that extends the Itô integral not only with respect to the Wiener process, but also with respect to a wide class of stochastic processes satisfying certain homogeneity and smoothness conditions, without requirements relative to filtrations such as adaptedness. Using this integral, a change of variable formula that extends the c...
متن کاملSufficient conditions for the invertibility of adapted perturbations of identity on the Wiener space
Abstract: Let (W,H,μ) be the classical Wiener space. Assume that U = IW + u is an adapted perturbation of identity, i.e., u : W → H is adapted to the canonical filtration ofW . We give some sufficient analytic conditions on u which imply the invertibility of the map U . In particular it is shown that if u ∈ IDp,1(H) is adapted and if exp( 2‖∇u‖2 − δu) ∈ Lq(μ), where p−1 + q−1 = 1, then IW + u i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2007
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2007.07.015