16 citations · 31 across the 54 of their papers we have counts for
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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…
Atomic Characterization and Its Applications of Matrix-Weighted Variable Hardy Spaces
Yiqun Chen, Dachun Yang, Wen Yuan +1
In this article, by means of the matrix-weighted grand maximal function we first introduce the variable Hardy space on with the $\mathscr{A}_{p(\cdo…
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 Hardy--Lorentz Spaces on Quasi-Ultrametric Spaces of Homogeneous Type with Reverse-Doubling Property
Chenfeng Zhu, Ryan Alvarado, Xianjie Yan +2
Let be an ultra-RD-space with upper dimension ; i.e., it is a quasi-ultrametric space of homogeneous type whose measure satisfies an addition…
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…