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math.FA2026
Local Matrix Muckenhoupt Weights and Quantitative Weighted Inequalities Achieving Global Best Known Exponents
Tuomas Hytönen, Dachun Yang, Wen Yuan +1
In this article, we give various real-variable properties of local Muckenhoupt matrix weights and establish the quantitative boundedness of several operators on local matrix-we…
math.FA2026
Weak-type characterizations of Sobolev and bounded variation spaces on metric measure spaces
Tuomas P. Hytönen, Dachun Yang, Wen Yuan +1
Given a complete doubling metric measure space supporting a Poincaré inequality, we prove weak-type characterizations of the Sobolev space and the spac…