Uniform pointwise estimates for ultraspherical polynomials

被引：0

作者：

Casarino, Valentina ^{[1
]}

Ciatti, Paolo ^{[2
]}

Martini, Alessio ^{[3
]}

机构：

[1] Univ Padua, DTG, Stradella San Nicola 3, I-36100 Vicenza, Italy

[2] Univ Padua, DICEA, Via Marzolo 9, I-35100 Padua, Italy

[3] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

来源：

COMPTES RENDUS MATHEMATIQUE | 2021年 / 359卷 / 10期

关键词：

INEQUALITIES; OPERATORS;

D O I：

10.5802/crmath.255

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove pointwise bounds for two-parameter families of Jacobi polynomials. Our bounds imply estimates for a class of functions arising from the spectral analysis of distinguished Laplacians and sub-Laplacians on the unit sphere in arbitrary dimension, and are instrumental in the proof, discussed in a companion paper, of sharp multiplier theorems for those operators.

引用

页码：1239 / 1250

页数：13

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