Pointwise Convergence of Landau Type Schrödinger Operators
摘要
In this paper we study the pointwise convergence of Landau type Schrödinger operators. We prove the non-tangential convergence for such operators on weighted Lebesgue spaces, which extends a known result by Yuan, Zhao and Zheng. Moreover, we also study the pointwise convergence of Landau type Schrödinger operators along sequences. Our results are established by proving the corresponding maximal estimates.