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math.FA2021
Upper and lower bounds for Dunkl heat kernel
Jacek Dziubański, Agnieszka Hejna
On equipped with a normalized root system , a multiplicity function , and the associated measure $$ dw(\mathbf x)=\prod_{α\in R}|\langle \mathbf x,α\rang…
math.FA2021
Dimension-free estimates for vectors of Riesz transforms in the rational Dunkl setting
Agnieszka Hejna
In this article, we prove dimension-free upper bound for the -norms of the vector of Riesz transforms in the rational Dunkl setting. Our main technique is Bellman function met…