AbstractThe infinite dimensional Green measure g is shown to be a product measure and this provides sufficient conditions for the existence and the differentiability of potentials. Moreover, it is shown how such conditions can be used to prove that if f is Lip and if we set u = Gf, then first D2u is Lip too and second u satisfies Δu = −2f for a wide class of functions f with arbitrary support
In this paper we prove new results on the regularity (i.e., smoothness) of measures ¯ solving the e...
Abstract. We construct two counter-examples related to Fréchet differentiabil-ity in infinite dimen...
The paper continues the author's work in measure and integration, which is an attempt at unified sys...
AbstractThe infinite dimensional Green measure g is shown to be a product measure and this provides ...
A theory of distributions analogous to Schwartz distribution theory is formulated for separable Bana...
AbstractWe study the potential theory of a large class of infinite dimensional Lévy processes, inclu...
We show that one can always linearly embed an abstract Wiener space (E, H, m) into the corresponding...
Abstract. We address the Monge problem in the abstract Wiener space and we give an existence result ...
We investigate the structure and properties of a variety of generalized Wiener spaces. Our main focu...
We address the Monge problem in the abstract Wiener space and we give an existence result provided b...
Beznea L, Cornea A, Röckner M. Potential theory of infinite dimensional Levy processes. Journal of F...
The purpose of this paper is to develop a natural integration theory over a suitable kind of infinit...
Let (E, H, m) be an abstract Wiener space and (Omega, H, gamma) be the corresponding Ito's Wiener sp...
AbstractMeasurable linear transformations from an abstract Wiener space to a Hilbert space are chara...
AbstractLet (E, H, m) be an abstract Wiener space and (Ω, H, γ) be the corresponding Ito's Wiener sp...
In this paper we prove new results on the regularity (i.e., smoothness) of measures ¯ solving the e...
Abstract. We construct two counter-examples related to Fréchet differentiabil-ity in infinite dimen...
The paper continues the author's work in measure and integration, which is an attempt at unified sys...
AbstractThe infinite dimensional Green measure g is shown to be a product measure and this provides ...
A theory of distributions analogous to Schwartz distribution theory is formulated for separable Bana...
AbstractWe study the potential theory of a large class of infinite dimensional Lévy processes, inclu...
We show that one can always linearly embed an abstract Wiener space (E, H, m) into the corresponding...
Abstract. We address the Monge problem in the abstract Wiener space and we give an existence result ...
We investigate the structure and properties of a variety of generalized Wiener spaces. Our main focu...
We address the Monge problem in the abstract Wiener space and we give an existence result provided b...
Beznea L, Cornea A, Röckner M. Potential theory of infinite dimensional Levy processes. Journal of F...
The purpose of this paper is to develop a natural integration theory over a suitable kind of infinit...
Let (E, H, m) be an abstract Wiener space and (Omega, H, gamma) be the corresponding Ito's Wiener sp...
AbstractMeasurable linear transformations from an abstract Wiener space to a Hilbert space are chara...
AbstractLet (E, H, m) be an abstract Wiener space and (Ω, H, γ) be the corresponding Ito's Wiener sp...
In this paper we prove new results on the regularity (i.e., smoothness) of measures ¯ solving the e...
Abstract. We construct two counter-examples related to Fréchet differentiabil-ity in infinite dimen...
The paper continues the author's work in measure and integration, which is an attempt at unified sys...
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