The Poisson Operator for Orthogonal Polynomials in the Multidimensional Ball

被引：4

作者：

Ciaurri, Oscar ^{[1
,2
]}

机构：

[1] Univ La Rioja, CIME, Logrono 26004, Spain

[2] Univ La Rioja, Dept Matemat & Comp, Logrono 26004, Spain

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2013年 / 19卷 / 05期

关键词：

Poisson operator; Mixed norm spaces; Weighted inequalities; RIESZ TRANSFORMS; DISK MULTIPLIER; RADIAL WEIGHTS; EXPANSIONS; SUMMABILITY; SERIES;

D O I：

10.1007/s00041-013-9281-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we define the Poisson operator related to an orthonormal system on the multidimensional ball and we analyze some weighted inequalities for this operator in mixed norm spaces.

引用

页码：1020 / 1028

页数：9

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