Sharp estimates for Jacobi heat kernels in conic domains

被引：0

作者：

Hanrahan, Dawid ^{[1
]}

Kosz, Dariusz ^{[1
,2
]}

机构：

[1] WUST Wroclaw Univ Sci & Technol, PL-50370 Wroclaw, Poland

[2] BCAM Basque Ctr Appl Math, Bilbao 48009, Spain

来源：

JOURNAL OF APPROXIMATION THEORY | 2023年 / 293卷

关键词：

Multidimensional cone; Jacobi heat kernel;

D O I：

10.1016/j.jat.2023.105921

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove genuinely sharp estimates for the Jacobi heat kernels introduced in the context of the multidimensional cone Vd+1 and its surface Vd+1 0 . To do so, we combine the theory of Jacobi polynomials on the cone explored by Xu with the recent techniques by Nowak, Sjogren, and Szarek, developed to find genuinely sharp estimates for the spherical heat kernel. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：11

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