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

Published 2 Jun 2019 in math.CV and math.AP | (1906.00315v1)

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

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