2019
DOI: 10.3390/math7111035
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Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn

Abstract: The purpose of this paper is to study the Mergelyan approximation property in L p and C k -scales on certain weakly pseudoconvex domains of finite/infinite type in C n . At the heart of our results lies the solvability of the additive Cousin problem with bounds as well as estimates of the ∂ ¯ -equation in the corresponding topologies.

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