Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates
The authors prove real analytic hypoellipticity for the \(\overline{\partial}\)-Neumann problem on domains of the form \(\{x\in \mathbb{C}^ n\): \(\text{Im } w>| z'|^ 2+ h(| z''|^ 2)\}\). Here \(z'\), \(z''\) may be taken to be tuples of complex coordinates. Related results are proved for \(\square_ b\).
scientific article; zbMATH DE number 58553
scientific article