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On a generalized corona problem on the unit disc
Authors:Jordi Pau
Affiliation:Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
Abstract:Let $g,f_ 1,dots,f_ nin H^{infty}$. We give a sufficient condition on the size of a function $g$ in order for it to be in the ideal generated by $f_ 1,dots,f_ n$. In particular, this improves Cegrell's result on this problem.

Keywords:${H}^p$-spaces   corona problems   Carleson measure
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