4 citations · 4 across the 25 of their papers we have counts for
7 papers · 2 filters
Compactness and Its Applications of Sobolev Spaces Associated with Ball Banach Function Spaces
Xiaosheng Lin, Dachun Yang, Wen Yuan +1
Let be a bounded Lipschitz domain in , and be a ball Banach function space on In this article, under some mild assumpt…
Variable Muckenhoupt Weights
Dachun Yang, Wen Yuan, Zongze Zeng
In this article, with introducing concepts of variable scalar weights and variable matrix weights, we seek a compreh…
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…
Real-variable theory of matrix-weighted multi-parameter Besov--Triebel--Lizorkin-type spaces
Fan Bu, Yiqun Chen, Tuomas Hytönen +2
We develop a comprehensive theory for a general class of multi-parameter function spaces of Besov-Triebel-Lizorkin type, with a matrix weight. We prove the equivalence of different…
Product Hardy Spaces on Spaces of Homogeneous Type: Discrete Product Calderón-Type Reproducing Formula, Atomic Characterization, and Product Calderón--Zygmund Operators
Ziyi He, Dachun Yang, Taotao Zheng
Let and be a space of homogeneous type in the sense of Coifman and Weiss with the upper dimension . Also let be the smoothness index of the Auscher--…
Matrix-Weighted Poincaré-Type Inequalities with Applications to Logarithmic Hajłasz--Besov Spaces on Spaces of Homogeneous Type
Ziwei Li, Dachun Yang, Wen Yuan
Let be a space of homogeneous type. In this article, based on the reducing operators of matrix -weights, the authors introduce the vector-valued Hajłasz gradi…
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…