scholarly journals Some remarks on the Toeplitz corona problem

2010 ◽  
pp. 81-89 ◽  
Author(s):  
Ronald Douglas ◽  
Jaydeb Sarkar
Keyword(s):  
Corona Problem

scholarly journals The Bezout-Corona Problem Revisited: Wiener Space Setting

2015 ◽  
Vol 10 (1) ◽  
pp. 115-139
Author(s):  
G. J. Groenewald ◽  
S. ter Horst ◽  
M. A. Kaashoek
Keyword(s):  
Wiener Space ◽  
Corona Problem ◽  
Space Setting

scholarly journals The Toeplitz corona problem for algebras of multipliers on a Nevanlinna-Pick space

2012 ◽  
Vol 61 (4) ◽  
pp. 1393-1405 ◽  
Author(s):  
Ryan Hamilton ◽  
Mrinal Raghupathi
Keyword(s):  
Corona Problem

scholarly journals Corona problem for Riemann surfaces of Parreau-Widom type

1982 ◽  
Vol 103 (1) ◽  
pp. 103-109 ◽  
Author(s):  
Mitsuru Nakai
Keyword(s):  
Riemann Surfaces ◽  
Corona Problem

scholarly journals Ideals of bounded holomorphic functions on simple n-sheeted discs

1991 ◽  
Vol 123 ◽  
pp. 171-201
Author(s):  
Masaru Hara
Keyword(s):  
Riemann Surface ◽  
Banach Algebra ◽  
Positive Constant ◽  
Holomorphic Functions ◽  
Strong Sense ◽  
Supremum Norm ◽  
Corona Problem ◽  
Bounded Holomorphic ◽  
Zero Points ◽  
The Ideal

As usual we denote by H∞(K) the Banach algebra of bounded holomorphic functions on a Riemann surface R equipped with the supremum norm ‖·‖ Consider the ideal I(f1 … fm) of H∞(R) generated by functions f1 …fm in H∞(R). If a function g in H∞(R) belongs to I(f1 … fm or equivalently, if there exist m functions h1 …, hm in H∞(R) withon R, then common zero points of f1, ... fm are also zero points of g in the following strong sense:on R for a positive constant δ > 0. The generalized corona problem asks whether the converse is valid or not. In the case g ≡ 1 on R the problem is referred to simply as the corona problem.

scholarly journals Corona problem and flows

1991 ◽  
Vol 102 (2) ◽  
pp. 360-378
Author(s):  
Jun-ichi Tanaka
Keyword(s):  
Corona Problem

scholarly journals BMO estimates for the H∞(Bn) Corona problem

2010 ◽  
Vol 258 (11) ◽  
pp. 3818-3840 ◽  
Author(s):  
Şerban Costea ◽  
Eric T. Sawyer ◽  
Brett D. Wick
Keyword(s):  
Corona Problem
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