The corona problem with two pieces of data

2010/01/12 by Steven G. Krantz, Krantz, Steven G.
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Holomorphic and Operator Theory #math.CV #msc:30H80 #msc:32A38 #msc:32A65

paper · pdf · doi:10.48550/arxiv.1001.1807

arxiv created 2010/01/12 · arxiv updated 2010/01/14

Abstract

We study the corona problem on the unit ball in \CCⁿ, and more generally on strongly pseudoconvex domains in \CCⁿ. 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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