BOUNDEDNESS OF PROJECTION OPERATORS AND CESARO MEANS IN WEIGHTED Lp SPACE ON THE UNIT SPHERE

被引：7
|
作者：
Dai, Feng [1 ]
Xu, Yuan [2 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 06期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Projection operator; Cesaro means; weighted L-p space; unit sphere; POLYNOMIAL INEQUALITIES; APPROXIMATION;
D O I：
10.1090/S0002-9947-09-04846-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For the weight function Pi(d+1)(i=1)vertical bar x(i)vertical bar(2 kappa i) on the unit sphere, sharp local estimates of the orthogonal projection operators are obtained and used to prove the convergence of the Cesaro (C, delta) means in the weighted L-p space for delta above the critical index. Similar results are also proved for corresponding weight functions on the unit ball and on the simplex.
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页码：3189 / 3221
页数：33
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