Original article at: http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=1859

On an extension of jump-type symmetric Dirichlet forms

Toshihiro Uemura, University of Hyogo

Abstract

We show that any element from the (L2-)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.

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Original article at: http://www.math.washington.edu/~ejpecp/ECP/viewarticle.php?id=1859