The corona problem is known to fail for the complex polydisk, for dimension greater than 2. Does anyone has an explicit example of such functions?
Explicit counter-example to corona problem
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0On a related note, are there domains in the complex plane where the corona problem fails to hold ? – 2012-08-27
1 Answers
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If you're talking about the corona problem for $H^\infty$, I'm pretty sure that it's still wide open for the polydisc.