Orlicz estimates for parabolic Schrödinger operators with non-negative potentials on nilpotent Lie groups

In this paper, we study the Orlicz estimates for the parabolic Schrödinger operator $ L = {\partial _t} - {\Delta _X} + V, $ where the nonnegative potential $ V $ belongs to a reverse Hölder class on nilpotent Lie groups $ {\Bbb G} $ and $ {\Delta _X} $ is the sub-Laplace operator on $ {\Bbb...

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Bibliographic Details
Main Author: Kelei Zhang
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023949?viewType=HTML