scholarly journals Note on a general complex Monge-Ampère equation on pseudoconvex domains of infinite type

2016 ◽  
Vol 92 (10) ◽  
pp. 136-140
Author(s):  
Ly Kim Ha
Keyword(s):  
Pseudoconvex Domains ◽  
Infinite Type ◽  
General Complex ◽  
Monge Ampere

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

scholarly journals Complex Monge-Ampère Equation in Strictly Pseudoconvex Domains

2019 ◽  
Vol 45 (1) ◽  
pp. 93-101
Author(s):  
Hoang-Son Do ◽  
Thai Duong Do ◽  
Hoang Hiep Pham
Keyword(s):  
Pseudoconvex Domains ◽  
Monge Ampere

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 The complex Monge–Ampère equation on weakly pseudoconvex domains

2017 ◽  
Vol 355 (4) ◽  
pp. 411-414 ◽  
Author(s):  
Luca Baracco ◽  
Tran Vu Khanh ◽  
Stefano Pinton
Keyword(s):  
Pseudoconvex Domains ◽  
Weakly Pseudoconvex ◽  
Monge Ampere
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