Gaussian BV Functions and Gaussian BV Capacity on Stratified Groups

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2021 Analysis in Theory and Applications  
Let G be a stratified Lie group and let {X 1 , • • • , X n 1 } be a basis of the first layer of the Lie algebra of G. The sub-Laplacian ∆ G is defined by The operator defined by 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.
doi:10.4208/ata.2021.lu80.03 fatcat:idoe3hhns5h2lllf64vq5m4d3q