Uniform conditional ergodicity and intrinsic ultracontractivity

Robert Knobloch, L Partzsch

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We study two properties of semigroups of sub-Markov kernels, namely uniform conditional ergodicity and intrinsic ultracontractivity. In this paper we investigate the relationship between these two properties and we provide sufficient criteria as well as characterisations of them. In particular, our considerations show that, under suitable assumptions, the second property implies the first one. We also introduce a property called compact domination and show how this property and the parabolic boundary Harnack principle are related to the aforementioned properties. Furthermore, we apply these results in some special cases.
Original languageEnglish
Pages (from-to)107-136
Number of pages30
JournalPotential Analysis
Volume33
Issue number2
DOIs
Publication statusPublished - Aug 2010

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Intrinsic Ultracontractivity
Ergodicity
Boundary Harnack Principle
Domination
Semigroup
Sufficient
kernel
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Uniform conditional ergodicity and intrinsic ultracontractivity. / Knobloch, Robert; Partzsch, L.

In: Potential Analysis, Vol. 33, No. 2, 08.2010, p. 107-136.

Research output: Contribution to journalArticle

Knobloch, Robert ; Partzsch, L. / Uniform conditional ergodicity and intrinsic ultracontractivity. In: Potential Analysis. 2010 ; Vol. 33, No. 2. pp. 107-136.
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