Acta Mathematica Vietnamica

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On compactness of the $\bar{\partial}$ -Neumann operator on r-convex domains
Le Mau Hai, Nguyen Xuan Hong

 

Abstract

In this paper, we show that on a bounded r-convex domain Ω in C n such that for every z∂Ω there exists a complex affine subspace L z of dimension ≤ q−1 through z such that L z ∂Ω is a q-peak set with rqn the ˉ -Neumann operator N q,Ω is compact.

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