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

作者：

Highlights：

•

摘要

We prove two-weight norm inequalities for Cesàro 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.

论文关键词：Cesàro means,Nørlund means,Hermite expansions,Hermite polynomials,Generalized Hermite expansions,Generalized Hermite polynomials,two-weight norm inequalities,Weighted norm inequalities,primary 42C10

论文评审过程：Received 18 September 2003, Revised 25 March 2004, Available online 14 October 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.03.027