Smooth Pseudoconvex Domains in ℂ2 For Which the Corona Theorem and L p Estimates for ∂̄ Fail

1993 ◽  
pp. 209-222 ◽  
Author(s):  
John Erik Fornaess ◽  
Nessim Sibony
Keyword(s):  
Pseudoconvex Domains ◽  
Corona Theorem

scholarly journals Corona theorem for strictly pseudoconvex domains

2021 ◽  
Vol 41 (6) ◽  
pp. 843-848
Author(s):  
Sebastian Gwizdek
Keyword(s):  
Positive Result ◽  
Complex Plane ◽  
Wide Class ◽  
Unit Disc ◽  
Multidimensional Case ◽  
Pseudoconvex Domains ◽  
Corona Theorem ◽  
Corona Problem ◽  
Uniform Algebras ◽  
Duality Methods

Nearly 60 years have passed since Lennart Carleson gave his proof of Corona Theorem for unit disc in the complex plane. It was only recently that M. Kosiek and K. Rudol obtained the first positive result for Corona Theorem in multidimensional case. Using duality methods for uniform algebras the authors proved "abstract" Corona Theorem which allowed to solve Corona Problem for a wide class of regular domains. In this paper we expand Corona Theorem to strictly pseudoconvex domains with smooth boundaries.

scholarly journals Bekollé-Bonami estimates on some pseudoconvex domains

2021 ◽  
pp. 102993
Author(s):  
Zhenghui Huo ◽  
Nathan A. Wagner ◽  
Brett D. Wick
Keyword(s):  
Pseudoconvex Domains

Analytic dynamics in some pseudoconvex domains

1992 ◽  
Vol 19 (8) ◽  
pp. 717-730
Author(s):  
Paul Hriljac
Keyword(s):  
Pseudoconvex Domains

scholarly journals Uniformization of strictly pseudoconvex domains. I

2005 ◽  
Vol 69 (6) ◽  
pp. 1189-1202 ◽  
Author(s):  
S Yu Nemirovskii ◽  
Ruslan G Shafikov
Keyword(s):  
Pseudoconvex Domains
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