Decay of eigenfunctions and intrinsic ultracontractivity for Levy-Schroedinger operators

Speaker(s)

Kamil Kaleta

Affiliation

Politechnika Wrocławska i Uniwersytet Warszawski

Date

Dec. 20, 2012, 12:15 p.m.

Room

room 3260

Seminar

Seminar of Probability Group

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We consider the Feynman-Kac semigroups for a class of jump Levy processes satisfying some specific regularity conditions. Generators of these semigroups are sometimes called generalized Schroedinger operators. For these operators we present some new results on the behaviour of eigenfunctions at infinity. We also derive some characterization of intrinsic ultracontractivity given in terms of the corresponding Levy measures.
The talk is based on the joint paper with József Lorinczi (Loughborough University) available at arXiv:1209.4220.

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