@article{Zhang2023, 
author = {Kelei Zhang},
title = {Orlicz estimates for parabolic Schrödinger operators with non-negative potentials on nilpotent Lie groups},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {8},
pages = {18631-18648},
keywords = {Orlicz space, nilpotent Lie group, parabolic Schrödinger operator, non-negative potential, domain decomposition method},
url = {https://www.sciopen.com/article/10.3934/math.2023949},
doi = {10.3934/math.2023949},
abstract = {In this paper, we study the Orlicz estimates for the parabolic Schrödinger operator     L  =            ∂      t        −            Δ      X        +  V  ,where the nonnegative potential    V belongs to a reverse Hölder class on nilpotent Lie groups              G       and              Δ      X       is the sub-Laplace operator on              G      . Under appropriate growth conditions of the Young function, we obtain the regularity estimates of the operator    L in the Orlicz space by using the domain decomposition method. Our results generalize some existing ones of the        L          p       estimates.}
}