Mathematical Research Letters

Volume 27 (2020)

Number 3

Lower bounds for estimates of the Schrödinger maximal function

Pages: 687 – 692

DOI: https://dx.doi.org/10.4310/MRL.2020.v27.n3.a4

Authors

Xiumin Du (Department of Mathematics, University of Maryland, College Park, Md., U.S.A.)

Jongchon Kim (Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada)

Hong Wang (Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Mass., U.S.A.)

Ruixiang Zhang (Department of Mathematics, University of Wisconsin, Madison, Wisc., U.S.A.)

Abstract

We give new lower bounds for $L^p$ estimates of the Schrödinger maximal function by generalizing an example of Bourgain.

Full Text (PDF format)

This material is based upon work supported by the National Science Foundation under Grant Number DMS-1641020. The first, second and fourth authors were supported in part by the National Science Foundation under Grant Number DMS-1638352. They were additionally supported by the Shiing-Shen Chern Fund, a PIMS postdoctoral fellowship and the James D. Wolfensohn Fund, respectively.

Received 12 February 2019

Accepted 31 July 2019

Published 20 August 2020