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Currently displaying 1 – 4 of 4

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A convergence theorem for Dirichlet forms with applications to boundary value problems with varying domains.

Peter Stollmann — 1995

Mathematische Zeitschrift

A dual characterization of length spaces with application to Dirichlet metric spaces

Peter Stollmann — 2010

Studia Mathematica

We show that under minimal assumptions, the intrinsic metric induced by a strongly local Dirichlet form induces a length space. The main input is a dual characterization of length spaces in terms of the property that the 1-Lipschitz functions form a sheaf.

Representation of operators by kernels.

Peter Stollmann — 1991

Collectanea Mathematica

We prove that differences of order-continuous operators acting between function spaces can be represented with a pseudo-kernel, proved the underlying measure spaces satisfy certain (rather weak) conditions. To see that part of these conditions are necessary, we show that the strict localizability of a measure space can be characterized by the existence of a pseudo-kernel for a certain operator.

The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms.

Lenz, Daniel; Stollmann, Peter; Veselić, Ivan — 2009

Documenta Mathematica

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