Fractional integrals on compact Riemannian symmetric spaces of rank one

被引：10

作者：

Ciaurri, Oscar ^{[1
]}

Roncal, Luz ^{[1
]}

Stinga, Pablo Raul ^{[2
]}

机构：

[1] Univ La Rioja, Dept Matemat & Comp, Logrono 26004, Spain

[2] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

ADVANCES IN MATHEMATICS | 2013年 / 235卷

关键词：

Analysis on compact Riemannian symmetric spaces of rank one; Two-point homogeneous spaces; Laplace-Beltrami operator; Fractional integral; Jacobi expansions; Weighted inequality; Mixed norm spaces; GROUP REPRESENTATIONS; MULTIPLIERS; NORM; LP;

D O I：

10.1016/j.aim.2012.12.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study mixed norm boundedness for fractional integrals related to Laplace-Beltrami operators. on compact Riemannian symmetric spaces of rank one. The key point is the analysis of weighted inequalities for fractional integral operators associated to trigonometric Jacobi polynomials expansions. In particular, we find a novel sharp estimate for the Jacobi fractional integral kernel with explicit dependence on the type parameters. Published by Elsevier Inc.

引用

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页码：627 / 647

页数：21

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