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.

引用

页码：117 / 130

页数：14

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