caa a22 4500 606210091 CHVBK 20210128101031.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00032-015-0244-z doi (NATIONALLICENCE)springer-10.1007/s00032-015-0244-z Riesz Transforms on Compact Riemannian Symmetric Spaces of Rank One [Elektronische Daten] [Óscar Ciaurri, Luz Roncal, Pablo Stinga] In this paper we prove mixed norm estimates for Riesz transforms related to Laplace-Beltrami operators on compact Riemannian symmetric spaces of rank one. These operators are closely related to the Riesz transforms for Jacobi polynomials expansions. The key point is to obtain sharp estimates for the kernel of the Jacobi-Riesz transforms with uniform control on the parameters, together with an adaptation of Rubio de Francia's extrapolation theorem. The latter results are of independent interest. Springer Basel, 2015 Analysis on compact Riemannian symmetric spaces of rank 1 nationallicence Laplace-Beltrami operator nationallicence Riesz transform nationallicence mixed norm spaces nationallicence Rubio de Francia extrapolation theorem nationallicence Jacobi expansions nationallicence Ciaurri Óscar Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain aut Roncal Luz Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain aut Stinga Pablo Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, 78712-1202, Austin, TX, United States of America aut Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 345-370 1424-9286 83:2<345 2015 83 32 https://doi.org/10.1007/s00032-015-0244-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00032-015-0244-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ciaurri Óscar Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain aut NATIONALLICENCE 700 1- Roncal Luz Departamento de Matemáticas y Computación, Universidad de La Rioja, 26004, Logroño, Spain aut NATIONALLICENCE 700 1- Stinga Pablo Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, 78712-1202, Austin, TX, United States of America aut NATIONALLICENCE 773 0- Milan Journal of Mathematics Springer Basel 83/2(2015-12-01), 345-370 1424-9286 83:2<345 2015 83 32