English

Localization and Schr\"odinger perturbations of kernels

Functional Analysis 2012-08-17 v2 Probability

Abstract

We study iterations of integral kernels satisfying a transience-type condition and we prove exponential estimates analogous to Gronwall\rq{}s inequality. As a consequence we obtain estimates of Schr\"odinger perturbations of integral kernels, including Markovian semigroups.

Keywords

Cite

@article{arxiv.1201.4530,
  title  = {Localization and Schr\"odinger perturbations of kernels},
  author = {Krzysztof Bogdan and Wolfhard Hansen and Tomasz Jakubowski},
  journal= {arXiv preprint arXiv:1201.4530},
  year   = {2012}
}

Comments

17 pages, revised: Example 4.1 added

R2 v1 2026-06-21T20:08:02.486Z