5 papers · 1 filter
Real-variable theory of function spaces with operator-valued weights in Banach spaces
Tuomas P. Hytönen, Yinqin Li, Dachun Yang +1
While the theory of matrix-weighted function spaces is well established, the majority of previous results in the infinite-dimensional operator-valued setting deal with "no go" theo…
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…
A unified approach to self-improving property via K-functionals
Oscar Dominguez, Yinqin Li, Sergey Tikhonov +2
In this paper we obtain new quantitative estimates that improve the classical inequalities: Poincaré-Ponce, Gaussian Sobolev, and John-Nirenberg. Our method is based on the K-funct…
Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko
Yinqin Li, Dachun Yang, Long Huang
This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalize…