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math.AP2024
Several functional capacities and Carleson type embeddings of fractional Sobolev sapces on stratified Lie groups
Zhiyong Wang, Pengtao Li, Yu Liu
In this paper, we focus on the functional and geometrical aspects of the fractional Sobolev capacity, the Besov capacity and the Riesz capacity on stratified lie groups, respective…
math.AP2024
Geometric topics related to Besov type spaces on the Grushin setting
Nan Zhao, Zhiyong Wang, Pengtao Li +1
The Grushin spaces, as one of the most important models in the Carnot-Carathéodory space, are a class of locally compact and geodesic metric spaces which admit a dilation. Function…