68 citations · 137 across the 31 of their papers we have counts for
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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…
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…
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces
Pengtao Li, Rui Hu, Zhichun Zhai
The purpose of this article is twofold. The first is to strengthen fractional Sobolev type inequalities in Besov spaces via the classical Lorentz space. In doing so, we show that t…
Fractional Besov Trace/Extension Type Inequalities via the Caffarelli-Silvestre extension
Pengtao Li, Rui Hu, Zhichun Zhai
Let be the Caffarelli-Silvestre extension of The first goal of this article is to establish the fractional trace type inequalities involving the Caffarelli-Si…
Embeddings of Function Spaces via the Caffarelli-Silvestre Extension, Capacities and Wolff potentials
Pengtao Li, Shaoguang Shi, Rui Hu +1
Let be the Caffarelli-Silvestre extension of a smooth function The purpose of this…
Fractional heat semigroups on metric measure spaces with finite densities and applications to fractional dissipative equations
Jizheng Huang, Pengtao Li, Yu Liu +1
Let be a metric measure space with upper and lower densities: $$ \begin{cases} |||μ|||_β:=\sup_{(x,r)\in \mathbb M\times(0,\infty)} μ(B(x,r))r^{-β}<\infty;\\ |||…