The corona problem with two pieces of data

Krantz, Steven

doi:10.1090/S0002-9939-10-10462-6

The corona problem with two pieces of data
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by Steven G. Krantz PDF

Proc. Amer. Math. Soc. 138 (2010), 3651-3655 Request permission

Abstract:

We study the corona problem on the unit ball in $\mathbb {C}^n$, and more generally on strongly pseudoconvex domains in $\mathbb {C}^n$. When the corona problem has just two pieces of data, and an extra geometric hypothesis is satisfied, then we are able to solve it.

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