One-side Liouville theorems under an exponential growth condition for Kolmogorov operators

It is known that for a possibly degenerate hypoelliptic Ornstein-Uhlenbeck (OU) operator L=12tr(QD2)+⟨Ax,D⟩=12div(QD)+⟨Ax,D⟩,x∈RN,L=\frac{1}{2}\hspace{0.1em}\text{tr}\hspace{0.1em}\left(Q{D}^{2})+\langle Ax,D\rangle =\frac{1}{2}\hspace{0.1em}\text{div}\hspace{0.1em}\left(QD)+\langle Ax,D\rangle ,\hs...

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Bibliographic Details
Main Author: Priola Enrico
Format: Article
Language:English
Published: De Gruyter 2024-11-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2024-0013
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