5 citations · 5 across the 4 of their papers we have counts for
4 papers
Fractional Gagliardo--Nirenberg Inequalities: Pointwise Estimates,Sharp Asymptotics, and Optimal Target Spaces
Pingxu Hu, Yinqin Li, Dachun Yang +1
We establish two pointwise estimates for fractional difference operators, tracking explicitly the dependence of the constants on the smoothness index . Using these, with…
A Sharp Localized Weighted Inequality Related to Gagliardo and Sobolev Seminorms and Its Applications
Pingxu Hu, Yinqin Li, Dachun Yang +1
In this article, we establish a nearly sharp localized weighted inequality related to Gagliardo and Sobolev seminorms, respectively, with the sharp -weight constant or with th…
Sharp Brezis--Seeger--Van Schaftingen--Yung Formulae for Higher-Order Gradients in Ball Banach Function Spaces
Pingxu Hu, Yinqin Li, Dachun Yang +2
Let be a ball Banach function space on , , , and denote the {\rm th} order difference. In this article, under some mi…
New John--Nirenberg--Campanato-Type Spaces Related to Both Maximal Functions and Their Commutators
Pingxu Hu, Jin Tao, Dachun Yang
Let , , and be a non-negative integer. In this article, the authors introduce a new function space $\widetilde{JN}_{(p,q,s)_α}(\mathcal{X})…