Remarks on estimates for the adjoint restriction operator to curves over the sphere
Classical Analysis and ODEs
2019-11-04 v2
Abstract
Recently, two of the authors obtained estimates for the adjoint restriction operator to finite type curves with respect to general measures. Strikingly, it turns out that some of such estimates are sharp, especially when the measures are given by surface measures under certain condition. A typical example is the surface measure on the sphere. We demonstrate sharpness of such estimates by constructing an example and, also, discuss related estimates over different type of surfaces.
Keywords
Cite
@article{arxiv.1810.08081,
title = {Remarks on estimates for the adjoint restriction operator to curves over the sphere},
author = {Seheon Ham and Hyerim Ko and Sanghyuk Lee},
journal= {arXiv preprint arXiv:1810.08081},
year = {2019}
}
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17 pages