Lower bounds for estimates of the Schrödinger maximal function

Abstract

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

arXiv comment4 pages

Cited by in corpus (4)

• Counterexamples for the fractal Schrödinger convergence problem with an intermediate space trick
• A note on the refined Strichartz estimates and maximal extension operator
• Maximal estimates for the Weyl sums on ${\mathbb{T}}^d$ (with an appendix by Alex Barron)
• Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation