Sharp $L^p$-$L^q$ estimates for the spherical harmonic projection
Classical Analysis and ODEs
2018-01-30 v2
Abstract
We consider - estimates for the spherical harmonic projection operators and obtain sharp bounds on a certain range of , . As an application, we provide a proof of off-diagonal Carleman estimates for the Laplacian, which extends the earlier results due to Jerison and Kenig \cite{JK}, and Stein \cite{St-append}.
Cite
@article{arxiv.1709.09795,
title = {Sharp $L^p$-$L^q$ estimates for the spherical harmonic projection},
author = {Yehyun Kwon and Sanghyuk Lee},
journal= {arXiv preprint arXiv:1709.09795},
year = {2018}
}
Comments
22 pages, 1 figure; v2. minor corrections