Next Article in Journal
Foldness of Bipolar Fuzzy Sets and Its Application in BCK/BCI-Algebras
Previous Article in Journal
Duality for Unified Higher-Order Minimax Fractional Programming with Support Function under Type-I Assumptions
Previous Article in Special Issue
On the Sign of the Curvature of a Contact Metric Manifold
Open AccessArticle

Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn

by Shaban Khidr 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.
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.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop