2 problems

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Uniform corona conjecture for $H^_B$
Uniform corona conjecture. There exist $g_1,\ldots,g_n\in H^\infty_B$ such that
Conjectureopenbounded-analytic-functions corona-theorem stable-rankarXiv posted 2 days ago
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The planar corona conjecture
Let $\Omega$ be a planar domain, and let $H^\infty(\Omega)$ denote the bounded analytic functions on $\Omega$ . Given corona data $\{f_j\}_{j=1}^n\subset H^\infty(\Omega)$ and…
Conjectureopencomplex-analysis corona-theoremarXiv posted 2 days ago

Uniform corona conjecture for H^_B