Jacobi conjugate expansions

被引：14
|
作者：
Stempak, Krzysztof [1 ]
机构：
[1] Politech Wroclawska, Inst Matemat & Informat, PL-50370 Wroclaw, Poland
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2007年 / 44卷 / 01期
关键词：
Jacobi expansions; Poisson and conjugate Poisson integrals; conjugate Jacobi series; weighted norm inequalities; transplantation;
D O I：
10.1556/SScMath.2006.1003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define and investigate the conjugacy operator for expansions with respect to the orthonormalized Jacobi polynomials. A general transplantation theorem for Jacobi series proved by Muckenhoupt is then applied to obtain weighted norm inequalities for conjugate Jacobi series.
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页码：117 / 130
页数：14
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