Functional inequalities for some generalised Mehler semigroups

Autor: Angiuli, L., Ferrari, S., Pallara, D.
Rok vydání: 2021
Předmět:
Zdroj: J. Theor. Probab. 36:1762-1796, 2023
Druh dokumentu: Working Paper
DOI: 10.1007/s10959-022-01215-8.
Popis: 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.
Databáze: arXiv