scholarly journals Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1035
Author(s):  
Shaban Khidr
Keyword(s):  
Approximation Property ◽  
Pseudoconvex Domains ◽  
Infinite Type ◽  
Holomorphic Approximation ◽  
Weakly Pseudoconvex ◽  
Cousin Problem

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.

scholarly journals On holomorphic approximation in weakly pseudoconvex domains

1980 ◽  
Vol 89 (2) ◽  
pp. 249-255 ◽  
Author(s):  
Frank Beatrous ◽  
Rolf Range
Keyword(s):  
Pseudoconvex Domains ◽  
Holomorphic Approximation ◽  
Weakly Pseudoconvex

Infinite type germs of real analytic pseudoconvex domains in ℂ3

2012 ◽  
Vol 57 (6) ◽  
pp. 705-717 ◽  
Author(s):  
John Erik Fornæss ◽  
Berit Stensønes
Keyword(s):  
Pseudoconvex Domains ◽  
Infinite Type ◽  
Real Analytic

Proper holomorphic maps from weakly pseudoconvex domains

1990 ◽  
Vol 60 (2) ◽  
pp. 363-388 ◽  
Author(s):  
Alan Noell ◽  
Berit Stens�nes
Keyword(s):  
Pseudoconvex Domains ◽  
Holomorphic Maps ◽  
Proper Holomorphic Maps ◽  
Weakly Pseudoconvex

A decomposition problem on weakly pseudoconvex domains

1999 ◽  
Vol 230 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Joachim Michel ◽  
Mei-Chi Shaw
Keyword(s):  
Pseudoconvex Domains ◽  
Decomposition Problem ◽  
Weakly Pseudoconvex
Sign in / Sign up

Export Citation Format

Share Document