Transference for Banach Space Representations of Nilpotent Lie Groups. Part 2. Pedersen Multipliers

被引：0

作者：

Beltita, Ingrid ^{[1
]}

Beltita, Daniel ^{[1
]}

Gale, Jose E. ^{[2
,3
]}

机构：

[1] Romanian Acad, Inst Math Simion Stoilow, POB 1-764, Bucharest, Romania

[2] Univ Zaragoza, Dept Matemat, Zaragoza 50009, Spain

[3] Univ Zaragoza, IUMA, Zaragoza 50009, Spain

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2021年 / 31卷 / 12期

关键词：

Banach space representation; Lie group; Weyl transform; Pedersen transform; Multiplier; Twisted convolution; Transference; INVARIANT OPERATORS;

D O I：

10.1007/s12220-021-00728-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize twisted convolutions associated with the Pedersen transform for unitary irreducible representations of nilpotent Lie groups. For 1 <= p < infinity, we also prove the L-p-boundedness for the Pedersen L-p-multipliers in the case of unitary irreducible representations that are square-integrable modulo the center of the group under consideration, thus, generalizing an earlier result on Weyl multipliers associated to the pseudo-differential Weyl calculus.

引用

页码：12568 / 12593

页数：26

共 45 条

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Ingrid Beltiţă
Daniel Beltiţă
José E. Galé
The Journal of Geometric Analysis, 2021, 31 : 12568 - 12593
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