Dimension-free L^p estimates for vectors of Riesz transforms in the rational Dunkl setting

2021/10/29 by Hejna, Agnieszka
#42B37 #FOS: Mathematics #Functional Analysis (math.FA) #primary: 42B30 #secondary: 42B25

paper · doi:10.48550/arxiv.2110.15735

Abstract

In this article, we prove dimension-free upper bound for the L^p-norms of the vector of Riesz transforms in the rational Dunkl setting. Our main technique is Bellman function method adapted to the Dunkl setting.

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