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.
Highlights
The magnetic Schrodinger operator (MSO) with constant magnetic fields Hb in Rn is of the form Hb = −(∇ + iBz 2 ), z ∈ Rn, (1)where B is a real antisymmetric matrix
We study almost everywhere convergence for Riesz means related to Schrodinger operator with constant magnetic fields
In [1], Rozenblum and Tashchiyan investigated the Lpnorm convergence for Riesz means for Schrodinger operator with constant magnetic fields
Summary
We study almost everywhere convergence for Riesz means related to Schrodinger operator with constant magnetic fields.
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