On the canonical solution of $\protect \,\protect \,\protect \overline{\protect \!\partial }$ on polydisks

We observe that the recent result of Chen–McNeal [6] implies that the canonical solution operator satisfies Sobolev estimates with a loss of $n-2$ derivatives on the polydisk $\Delta ^n$ and particularly is exact regular on $\Delta ^2$.

Bibliographic Details
Published in:Comptes Rendus. Mathématique
Main Authors: Jin, Muzhi, Yuan, Yuan
Format: Article
Language:English
Published: Académie des sciences 2020-09-01
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.51/