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Balayage of Semi-Dirichlet Forms
Canadian Journal of Mathematics, 2012AbstractIn this paper we study the balayage of semi-Dirichlet forms. We present new results on balayaged functions and balayagedmeasures of semi-Dirichlet forms. Some of the results are new even in the Dirichlet forms setting.
Hu, Ze-Chun, Sun, Wei
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On Unsymmetric Dirichlet Forms
Canadian Journal of Mathematics, 1973Let F be a linear, but not necessarily closed, subspace of L2[X, dm], where (X,,m) is a σ-finite measure space with the Borel subsets of the locally compact space X. If u and v are measureable functions, then v is called a normalized contraction of u if and Assume that F is stable under normalized contractions, that is, if u ∈ F and v is a ...
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Convergence of Discrete Dirichlet Forms to Continuous Dirichlet Forms on Fractals
Potential Analysis, 2004Consider a finitely ramified fractal possessing a ``Laplacian''. Approximate the fractal by a sequence of increasingly refined ``grids''. On these grids the Laplacian defines a unique sequence of discrete energies which increases to the continuous energy, the bilinear form defined by the Laplacian.
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Dirichlet forms on partial *-algebras
Mathematical Proceedings of the Cambridge Philosophical Society, 1988Dirichlet forms and their associated function spaces have been studied by a number of authors [4, 6, 7, 12, 15–18, 22, 25, 26]. Important motivation for the study has been the connection of Dirichlet forms with Markov processes [16–18, 25, 26]: for example, to every regular symmetric Dirichlet form, there is an associated Hunt process [13, 20].
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Sugaku Expositions, 2017
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Limits of relaxed dirichlet problems involving a non symmetric dirichlet form
Annali di Matematica Pura ed Applicata, 2001The purpose of this paper is to extend some homogenization results to the case of nonsymmetric Dirichlet forms; the symmetric case has been previously studied by Biroli and Tchou. More precisely, let \(X\) be a locally compact separable connected Hausdorff space, \(m\) a given Radon measure supported on \(X\).
Mataloni, S., Tchou, N. A.
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Capacities for Dirichlet forms
1993In this paper the author gives various equivalent expressions for the capacity defined by a Dirichlet form. In particular, in case of local Dirichlet forms satisfying the standard conditions to define an intrinsic metric, integral representations are discussed.
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Balayage et formes de Dirichlet
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1977Ce travail comprend trois parties. La premiere est consacree a l'expose de generalites sur la theorie des formes de Dirichlet et ses liens avec la theorie des processus de Markov. Les formes envisagees ne sont pas a priori supposees symetriques.
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