Abstract
Let Ω be a bounded domain in Cn and let H 8(Ω) denote the algebra of bounded holomorphic functions in Ω. The problem of whether Ω is dense in the spectrum of H 8(Ω) (corona problem) has attracted some attention. The answer is known to be affirmative for many open sets in C ; see Ref. 4 for a discussion. The answer is not known in ℂn n ≥ 2 even for the ball or the polydisk.
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© 1993 Springer Science+Business Media New York
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Fornaess, J.E., Sibony, N. (1993). Smooth Pseudoconvex Domains in ℂ2 For Which the Corona Theorem and L p Estimates for ∂̄ Fail. In: Ancona, V., Silva, A. (eds) Complex Analysis and Geometry. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9771-8_6
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DOI: https://doi.org/10.1007/978-1-4757-9771-8_6
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