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.
"Almost Everywhere Convergence of Riesz Means Related to Schrödinger Operator with Constant Magnetic Fields." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/859680