An $L^p$-$L^{p^{\prime }}$ Carleman inequality for $p=\frac{2n}{n+2}$

Abstract

In this note, by refining the proof of the Carleman inequality obtained by Dos Santos, Kenig, and Salo in 2013, we establish a new $L^p$-$L^{p^{\prime }}$ Carleman inequality.