Fractional integrals on compact Riemannian symmetric spaces of rank one

详细信息    查看全文

• 作者：Ó ; scar Ciaurri^a ; ^{oscar.ciaurri@unirioja.es} ; Luz Roncal^a ; ^{luz.roncal@unirioja.es} ; Pablo Raú ; l Stinga^b ; ^{stinga@math.utexas.edu}
• 关键词：primary ; 43A85 ; 58J05 ; 42C10 ; secondary ; 42B35 ; 33C45
• 刊名：Advances in Mathematics
• 出版年：2013
• 出版时间：1 March, 2013
• 年：2013
• 卷：235
• 期：Complete
• 页码：627-647
• 全文大小：262 K

文摘

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.