A note on the Schr\"odinger smoothing effect
Analysis of PDEs
2019-03-05 v3 Classical Analysis and ODEs
Abstract
The Kato-Yajima smoothing estimate is a smoothing weighted estimate with a singular power weight for the Schr\"odinger propagator. The weight has been generalized relatively recently to Morrey-Campanato weights. In this paper we make this generalization more sharp in terms of the so-called Kerman-Sawyer weights. Our result is based on a more sharpened Fourier restriction estimate in a weighted space. Obtained results are also extended to the fractional Schr\"odinger propagator.
Cite
@article{arxiv.1811.05112,
title = {A note on the Schr\"odinger smoothing effect},
author = {Ihyeok Seo},
journal= {arXiv preprint arXiv:1811.05112},
year = {2019}
}
Comments
To appear in Math. Nachr., 8 pages