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-  2019 

Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn

DOI: https://doi.org/10.3390/math7111035

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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 ? ˉ -equation in the corresponding topologies

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