Non-symmetric perturbations of symmetric Dirichlet forms
نویسندگان
چکیده
منابع مشابه
Non-symmetric Perturbations of Symmetric Dirichlet Forms
We provide a path-space integral representation of the semigroup associated with the quadratic form obtained by lower order perturbation of a symmetric local Dirichlet form. The representation is a combination of Feynman-Kac and Girsanov formulas, and extends previously known results in the framework of symmetric diffusion processes through the use of the Hardy class of smooth measures, which c...
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In order to treat certain "non-symmetric" potential theories, It6 I-4] and Bliedtner [1] have generalized Beurling and Deny's theory of Dirichlet spaces by replacing the inner product in the Dirichlet space with a bilinear form defined on a real, regular functional space. This bilinear form, called a Dirichlet form, is supposed to be continuous and coercive, and furthermore to satisfy a "contra...
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We consider the symmetric non-local Dirichlet form (E ,F) given by E(f, f) = ∫
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where n(x, y) is a positive measurable function on x 6= y. In order that the form (E ,D(E)) makes sense, we assume that the set {(x, y) ∈ R × R : n(x, y) = ∞} is a Lebesgue null set. In fact, under this condition, we have already shown that the form (E ,D(E)) is a Dirichlet form on L(R) in the wide sense (see [11] and [6]). Moreover if we set C 0 (R ) the totality of all uniformly Lipschitz con...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2004
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2003.10.005