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arXiv · 1811.05112

A note on the Schrödinger smoothing effect

Ihyeok Seo
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Abstract

The Kato-Yajima smoothing estimate is a smoothing weighted $L^2$ estimate with a singular power weight for the Schrödinger 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 $L^2$ space. Obtained results are also extended to the fractional Schrödinger propagator.

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Ihyeok Seo. 2019-03-04. A note on the Schrödinger smoothing effect. https://arxiv.org/abs/1811.05112

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