LpLq Off-diagonal estimates for the Ornstein-Uhlenbeck semigroup: Some positive and negative results

Alex Amenta, Jonas Teuwen

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

Abstract

We investigate Lp(γ)-Lq(γ) off-diagonal estimates for the Ornstein-Uhlenbeck semigroup (etL)t>0. For sufficiently large t (quantified in terms of p and q), these estimates hold in an unrestricted sense, while, for sufficiently small t, they fail when restricted to maximal admissible balls and sufficiently small annuli. Our counterexample uses Mehler kernel estimates.

Original languageEnglish
Pages (from-to)154-161
Number of pages8
JournalBulletin of the Australian Mathematical Society
Volume96
Issue number1
DOIs
Publication statusPublished - 2017

Keywords

  • Mehler kernel
  • off-diagonal estimates
  • Ornstein-Uhlenbeck semigroup

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