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cyclic function

Journal of the Institute of Mathematics of Jussieu (1)

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1 results

Cyclicity of singular inner functions from the corona theorem
Part of
- Spaces and algebras of analytic functions
- General theory of linear operators
Omar El-Fallah, Karim Kellay, Kristian Seip
Journal:

Journal of the Institute of Mathematics of Jussieu / Volume 11 / Issue 4 / October 2012

Published online by Cambridge University Press:

31 May 2012, pp. 815-824

Print publication:

October 2012
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Carleson's corona theorem is used to obtain two results on cyclicity of singular inner functions in weighted Bergman-type spaces on the unit disk. Our method of proof requires no regularity conditions on the weights.