On the domain of non-symmetric and, possibly, degenerate Ornstein-Uhlenbeck operators in separable Banach spaces
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Publication:2083984
DOI10.4171/RLM/972OpenAlexW4290102453WikidataQ114021389 ScholiaQ114021389MaRDI QIDQ2083984
Davide Addona, Gianluca Cappa, S. Ferrari
Publication date: 17 October 2022
Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/rlm/972
Degenerate elliptic equations (35J70) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
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- Maximal Sobolev regularity for solutions of elliptic equations in infinite dimensional Banach spaces endowed with a weighted Gaussian measure
- Sobolev regularity for a class of second order elliptic PDE's in infinite dimension
- Global \(L^{p}\) estimates for degenerate Ornstein-Uhlenbeck operators
- Kolmogorov equations for stochastic PDEs.
- Maximal regularity for Kolmogorov operators in \(L^{2}\) spaces with respect to invariant measures
- Schauder estimates for degenerate elliptic and parabolic problems with unbounded coefficients in \(\mathbb R^N\).
- PDE and martingale methods in option pricing.
- On a class of hypoelliptic operators with unbounded coefficients in \(\mathbb R^N\)
- Semigroups of linear operators and applications to partial differential equations
- Introduction to the theory of (non-symmetric) Dirichlet forms
- The Ornstein-Uhlenbeck semigroup in an infinite dimensional L\(^2\) setting
- Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces
- Maximal Sobolev regularity for solutions of elliptic equations in Banach spaces endowed with a weighted Gaussian measure: the convex subset case
- Transition semigroups of Banach space-valued Ornstein-Uhlenbeck processes
- Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
- On closability of directional gradients
- On the Ornstein-Uhlenbeck operator in spaces of continuous functions
- On generators of transition semigroups associated to semilinear stochastic partial differential equations
- Analyticity of nonsymmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measure
- Gradient estimates for perturbed Ornstein-Uhlenbeck semigroups on infinite-dimensional convex domains
- Sobolev spaces over the Wiener space based on an Ornstein-Uhlenbeck operator
- Nonautonomous Ornstein-Uhlenbeck operators in weighted spaces of continuous functions
- On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions
- Ornstein--Uhlenbeck operators with time periodic coefficients
- Potential theory on Hilbert space
- On the infinite dimensional Laplacian operator
- Banach space theory. The basis for linear and nonlinear analysis
- Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces
- Analytical Methods for Kolmogorov Equations
- Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators
- Domains of elliptic operators on sets in Wiener space
- Invariant measures and maximal L 2 regularity for nonautonomous Ornstein-Uhlenbeck equations
- ON THE DOMAIN OF NONSYMMETRIC ORNSTEIN–UHLENBECK OPERATORS IN BANACH SPACES
- An Introduction to Banach Space Theory
- On the small balls problem for equivalent Gaussian measures
- Sobolev spaces with respect to a weighted Gaussian measure in infinite dimensions
- THE SECTOR OF ANALYTICITY OF THE ORNSTEIN–UHLENBECK SEMIGROUP ON $L^{p}$ SPACES WITH RESPECT TO INVARIANT MEASURE
- On the Ornstein-Uhlenbeck operator in 𝐿² spaces with respect to invariant measures
- Generalized Ornstein-Uhlenbeck semigroups: Littlewood-Paley-Stein inequalities and the P. A. Meyer equivalence of norms