The Diederich--Fornæss index and the regularities on the $\bar{\partial }$-Neumann problem

Abstract

We show, under an assumption on the weakly pseudoconvex points, the trivial Diederich--Fornæss index directly implies the global regularities of the $\bar{\partial }$-Neumann operators.

References in corpus (1)

• The $\bar{\partial }$-Neumann operator with the Sobolev norm of integer orders