On the maximal ideal space of H^∞(B)

2011/12/06 by Steven G. Krantz, Krantz, Steven G.
Mathematics · #30H80 #32A38 #32A65 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV #msc:30H80 #msc:32A38 #msc:32A65

paper · pdf · doi:10.48550/arxiv.1112.1401

There are apparently errors in this paper. First, it is disputed that $|\nabla ϕ_j| \in L^5$. There are also questions about the proof of Theorem 3

openalex publication_date 2011/12/06 · arxiv created 2011/12/17 · arxiv updated 2011/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the corona problem on the unit ball and the unit polydisc in \CCⁿ. We provide affirmative solutions to both problems.

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