@Article{ATA-37-311,
author = {Huang , JizhengLi , Pengtao and Liu , Yu},
title = {Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups},
journal = {Analysis in Theory and Applications},
year = {2021},
volume = {37},
number = {3},
pages = {311--329},
abstract = {<p style="text-align: justify;">Let $G$ be a stratified Lie group and let $\{X_1, \cdots, X_{n_1}\}$ be a basis of the first layer of the Lie algebra of $G$. The sub-Laplacian $\Delta_G$ is defined by $$\Delta_G= -\sum^{n_1}_{j=1} X^2_j. $$ The operator defined by $$\Delta_G-\sum^{n_1}_{j=1}\frac{X_jp}{p}X_j$$ is called the Ornstein-Uhlenbeck operator on $G$, where $p$ is a heat kernel at time 1 on $G$. In this paper, we investigate Gaussian BV functions and Gaussian BV capacities associated with the Ornstein-Uhlenbeck operator on the stratified Lie group.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2021.lu80.03},
url = {http://global-sci.org/intro/article_detail/ata/19877.html}
}