Two-weight norm inequalities for the Cesaro means of generalized Hermite expansions

被引:3
|
作者
Ciaurri, S [1 ]
Varona, JL [1 ]
机构
[1] Univ La Rioja, Edificio JL Vives, Dept Matemat & Computac, Logrono 26004, Spain
关键词
Cesko means; Norlund means; Hermite expansions; Hermite polynomials; generalized Hermite expansions; generalized Hermite polynomials; two-weight norm inequalities; weighted norm inequalities;
D O I
10.1016/j.cam.2004.03.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove two-weight norm inequalities for Cesaro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:99 / 110
页数:12
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