Hardy Inequalities and Non-explosion Results for Semigroups

We prove non-explosion results for Schrödinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functions of their semigroups.

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Bibliographic Details
Published in:Potential analysis 2016-02, Vol.44 (2), p.229-247
Main Authors: Bogdan, Krzysztof, Dyda, Bartłomiej, Kim, Panki
Format: Article
Language:English
Subjects:
Functional Analysis
Geometry
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Description
Summary:We prove non-explosion results for Schrödinger perturbations of symmetric transition densities and Hardy inequalities for their quadratic forms by using explicit supermedian functions of their semigroups.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-015-9507-0