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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 859680, 7 pages
http://dx.doi.org/10.1155/2013/859680
Research Article

Almost Everywhere Convergence of Riesz Means Related to Schrödinger Operator with Constant Magnetic Fields

1College of Finance and Statistics, Hunan University, Changsha 410082, China
2College of Science and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, China

Received 25 September 2012; Accepted 28 January 2013

Academic Editor: Chuanzhi Bai

Copyright © 2013 Liurui Deng and Bolin Ma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study almost everywhere convergence for Riesz means related to Schrödinger operator with constant magnetic fields. Through researching the weighted norm estimates for the maximal operator with power-weight functions, we obtain the desired result, which is similar to the work given by Anthony Carbery, Jose L. Rubio de Francia, and Luis Vega.