Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in C n

Shaban Khidr
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Shaban Khidr: Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 21589, Saudi Arabia

Mathematics, 2019, vol. 7, issue 11, 1-7

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.

Keywords: Mergelyan property; weakly pseudoconvex domains; additive Cousin problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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