Localization and Schrödinger Perturbations of Kernels

Localization and Schrödinger Perturbations of Kernels

We study iterations of integral kernels satisfying a transience-type condition and we prove exponential estimates analogous to Gronwall’s inequality. As a consequence we obtain estimates of Schrödinger perturbations of integral kernels, including Markovian semigroups.

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Veröffentlicht in:Potential analysis 2013-07, Vol.39 (1), p.13-28
Hauptverfasser: Bogdan, Krzysztof, Hansen, Wolfhard, Jakubowski, Tomasz
Format: Artikel
Sprache:eng
Schlagworte:
Functional Analysis
Geometry
Mathematics
Mathematics and Statistics
Potential Theory
Probability Theory and Stochastic Processes
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Beschreibung
Zusammenfassung:We study iterations of integral kernels satisfying a transience-type condition and we prove exponential estimates analogous to Gronwall’s inequality. As a consequence we obtain estimates of Schrödinger perturbations of integral kernels, including Markovian semigroups.
ISSN:0926-2601
1572-929X
DOI:10.1007/s11118-012-9320-y