Jacobi transplantation revisited

被引：14
作者：
Ciaurri, Oscar
Nowak, Adam
Stempak, Krzysztof
机构：
[1] Wroclaw Univ Technol, Inst Math & Informat, PL-50370 Wroclaw, Poland
[2] Univ La Rioja, Dept Math & Computat, Logrono, Spain
来源：
MATHEMATISCHE ZEITSCHRIFT | 2007年 / 257卷 / 02期
关键词：
Jacobi polynomials; transplantation; local Calderon-Zygmund operators; weighted norm inequalities; Darboux type formula;
D O I：
10.1007/s00209-007-0128-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A transplantation theorem for Jacobi series proved by Muckenhoupt is reinvestigated by means of a suitable variant of Calderon-Zygmund operator theory. An essential novelty of our paper is weak type ( 1,1) estimate for the Jacobi transplantation operator, located in a fairly general weighted setting. Moreover, Lp estimates are proved for a class of weights that contains the class admitted in Muckenhoupt's theorem.
引用
收藏
页码：355 / 380
页数：26
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