68 citations · 137 across the 31 of their papers we have counts for
5 papers · 1 filter
On Catoni's M-Estimation
Pengtao Li, Hanchao Wang
Catoni proposed a robust M-estimator and gave the deviation inequality for one fixed test function. The present paper is devoted to the uniform concentration inequality for a famil…
The sparse representation related with fractional heat equations
Pengtao Li, Tao Qian, Ieng Tak Leong +1
This study introduces pre-orthogonal adaptive Fourier decomposition (POAFD) to obtain approximations and numerical solutions to the fractional Laplacian initial value problem and t…
BV spaces and the perimeters related to Schrodinger operators with inverse-square potentials and applications to the rank-one theorem
Yang Han, Jizheng Huang, Pengtao Li +1
For and , let $$\begin{cases}\mathcal{H}_{a}= - Δ+ \frac{a} {{{{ | x |}^2}}},\\ \mathcal{\widetilde{H}}_…
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…