OPTIMAL APPROXIMANTS AND ORTHOGONAL POLYNOMIALS IN SEVERAL VARIABLES II: FAMILIES OF POLYNOMIALS IN THE UNIT BALL

被引：5
|
作者：
Sargent, Meredith [1 ]
Sola, Alan A. [2 ]
机构：
[1] Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
[2] Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 12期
关键词：
Spaces of holomorphic functions in the unit ball; optimal approximants; orthogonal polynomials; SPACES; CYCLICITY;
D O I：
10.1090/proc/15641
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain closed expressions for weighted orthogonal polynomials and optimal approximants associated with the function f(z) = 1/root 2 (z(1) + z(2)) and a scale of Hilbert function spaces in the unit 2-ball having reproducing kernel (1 - (z,w))(-gamma), gamma > 0. Our arguments are elementary but do not rely on reduction to the one-dimensional case.
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页码：5321 / 5330
页数：10
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