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math.CA2026
Capacitary Trapping and Brownian Escape: A Sharp Hardy Principle for Absorbing Media
Yiqun Chen, Jie Xiao, Dachun Yang +2
We study Brownian motion killed upon exiting arbitrary open sets , . Let . The infimal radius at which the abs…
math.FA2026
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…
math.FA2026
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…