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2007 On an extension of jump-type symmetric Dirichlet forms
Toshihiro Uemura
Author Affiliations +
Electron. Commun. Probab. 12: 57-65 (2007). DOI: 10.1214/ECP.v12-1256

Abstract

We show that any element from the ($L^2$-)maximal domain of a jump-type symmetric Dirichlet form can be approximated by test functions under some conditions. This gives us a direct proof of the fact that the test functions is dense in Bessel potential spaces.

Citation

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Toshihiro Uemura. "On an extension of jump-type symmetric Dirichlet forms." Electron. Commun. Probab. 12 57 - 65, 2007. https://doi.org/10.1214/ECP.v12-1256

Information

Accepted: 26 March 2007; Published: 2007
First available in Project Euclid: 6 June 2016

zbMATH: 1139.31003
MathSciNet: MR2300215
Digital Object Identifier: 10.1214/ECP.v12-1256

Subjects:
Primary: 31C25
Secondary: 60J75

Keywords: extended Dirichlet space , jump-type Dirichlet form , Siverstein extension

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