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arXiv:2110.15735 [math.FA]AbstractReferencesReviewsResources

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

Agnieszka Hejna

Published 2021-10-29, updated 2021-11-05Version 2

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.

Comments: Research supported by the National Science Centre, Poland (Narodowe Centrum Nauki), Grant 2018/31/B/ST1/00204
Categories: math.FA
Subjects: 42B30, 42B25, 42B37
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