Functional inequalities for some generalised Mehler semigroups

Functional inequalities for some generalised Mehler semigroups

We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure \(\sigma\), we prove functional integral inequalities with respect to \(\sigma\), such as logarithmic Sobolev and Poincar\'{e} type. Consequently, some integrability properties of exponentia...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2021-06
Hauptverfasser: Angiuli, L, Ferrari, S, Pallara, D
Format: Artikel
Sprache:eng
Schlagworte:
Exponential functions
Inequalities
Mathematics - Analysis of PDEs
Mathematics - Functional Analysis
Semigroups
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider generalised Mehler semigroups and, assuming the existence of an associated invariant measure \(\sigma\), we prove functional integral inequalities with respect to \(\sigma\), such as logarithmic Sobolev and Poincar\'{e} type. Consequently, some integrability properties of exponential functions with respect to \(\sigma\) are deduced.
ISSN:2331-8422
DOI:10.48550/arxiv.2106.04241