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

页码：485 / 528

页数：44

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