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Article

Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn

by 1,2
1
Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511, Egypt
Mathematics 2019, 7(11), 1035; https://doi.org/10.3390/math7111035
Received: 11 September 2019 / Revised: 14 October 2019 / Accepted: 24 October 2019 / Published: 3 November 2019
(This article belongs to the Special Issue Complex and Contact Manifolds)
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. View Full-Text
Keywords: Mergelyan property; weakly pseudoconvex domains; additive Cousin problem Mergelyan property; weakly pseudoconvex domains; additive Cousin problem
MDPI and ACS Style

Khidr, S. Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn. Mathematics 2019, 7, 1035. https://doi.org/10.3390/math7111035

AMA Style

Khidr S. Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn. Mathematics. 2019; 7(11):1035. https://doi.org/10.3390/math7111035

Chicago/Turabian Style

Khidr, Shaban. 2019. "Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn" Mathematics 7, no. 11: 1035. https://doi.org/10.3390/math7111035

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