Sobolev estimates for the Lewy operator on weakly pseudo-convex boundaries
The authors prove a regularity theorem, with optimal estimates in the Sobolev norm, for the global \({\bar \partial}_ b\) problem on forms of top degree on the boundary of smooth, pseudoconvex domain. The methods are a combination of integral formulas and weighted estimates. The paper contains a detailed account of the history of this and related problems.
scientific article; zbMATH DE number 3944274
scientific article