Dimension-free LP-estimates for vectors of Riesz transforms in the rational Dunkl setting

被引：0
作者：
Hejna, Agnieszka [1 ]
机构：
[1] Uniwersytet Wroclawski, Inst Matemat, Pl Grunwaldzki 2, PL-50384 Wroclaw, Poland
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 2023年 / 150卷 / 02期
关键词：
LAGUERRE FUNCTION EXPANSIONS; SHARP INEQUALITIES; BELLMAN FUNCTIONS; FREE BOUNDEDNESS; MULTIPLIERS; POLYNOMIALS; THEOREM;
D O I：
10.1007/s11854-023-0278-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we prove a dimension-free upper bound for the L-p-norms of the vector of Riesz transforms in the rational Dunkl setting. Our main technique is the Bellman function method adapted to the Dunkl setting.
引用
收藏
页码：485 / 528
页数：44
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