(r, p)-Capacity on the Wiener space and properties of Brownian motion
β Scribed by Masayoshi Takeda
- Publisher
- Springer
- Year
- 1984
- Tongue
- English
- Weight
- 530 KB
- Volume
- 68
- Category
- Article
- ISSN
- 1432-2064
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π SIMILAR VOLUMES
We consider a differential equation on the Wiener space. We show that the solutions for the differential equation satisfy the flow property quasi-everywhere and we obtain the equivalence of capacities under the transformations of the Wiener space induced by the solutions by using the quasi flow prop
We prove tightness of Γ°r; pΓ-Sobolev capacities on configuration spaces equipped with Poisson measure. By using this result we construct surface measures on configuration spaces in the spirit of the Malliavin calculus. A related Gauss-Ostrogradskii formula is obtained.
THE LINEARIZED EQUATIONS OF MOTION \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 3 MOBILITIES \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.\_\_\_\_\_.\_.\_\_\_\_\_.\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 5 A\_ Lowest order multipole; point force approximation \_\_\_\_\_\_\_\_.\
We prove Meyer's inequalities for functionals on the Wiener space that take values on a Banach space belonging to the Burkholder U.M.D. class. As an application we analyse the quasi sure regularity in time of the stochastic flow of diffeomorphisms generated by a stochastic differential equation with