(Nonsymmetric) Dirichlet operators on $L^1$ : existence, uniqueness and associated Markov processes

Wilhelm Stannat

Displaying similar documents to “(Nonsymmetric) Dirichlet operators on $L^{1}$ : existence, uniqueness and associated Markov processes”

Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization

Vitali Liskevich, Michael Röckner (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Dirichlet forms on symmetric spaces

Christian Berg (1973)

Annales de l'institut Fourier

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Let $G$ be a locally compact group and $K$ a compact subgroup such that the algebra $L^{1} (G)^{♯}$ of biinvariant integrable functions is commutative. We characterize the $G$ -invariant Dirichlet forms on the homogeneous space $G / K$ using harmonic analysis of $L^{1} (G)^{♯}$ . This extends results from Ch. Berg, Séminaire Brelot-Choquet-Deny, Paris, 13e année 1969/70 and J. Deny, Potential theory (C.I.M.E., I ciclo, Stresa), Ed. Cremonese, Rome, 1970. Every non-zero $G$ -invariant Dirichlet form on a symmetric space $G / K$ of non...

Some Dirichlet spaces obtained by subordinate reflected diffusions.

Niels Jacob, René L. Schilling (1999)

Revista Matemática Iberoamericana

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In this paper we want to show how well-known results from the theory of (regular) elliptic boundary value problems, function spaces and interpolation, subordination in the sense of Bochner and Dirichlet forms can be combined and how one can thus get some new aspects in each of these fields.