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Toeplitz Corona Theorems for the Polydisk and the Unit Ball

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Abstract.

The main purpose of this paper is to extend and refine some work of Agler–McCarthy and Amar concerning the Corona problem for the polydisk and the unit ball in \(\mathbb{C}^n\).

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Authors and Affiliations

  1. Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, AL, 35487-0350, USA

    Tavan T. Trent

  2. Department of Mathematics, University of South Carolina, LeConte College, 1523 Greene Street, Columbia, SC, 29206, USA

    Brett D. Wick

  3. The Fields Institute, 222 College Street, 2nd Floor, Toronto, Ontario, M5T 3J1, Canada

    Brett D. Wick

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  1. Tavan T. Trent
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  2. Brett D. Wick
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Correspondence to Tavan T. Trent.

Additional information

Communicated by Cora Sadosky.

The research of the first author was partially supported by the Fields Institute. The research of the second author was partially supported by the Fields Institute and by NSF DMS Grant # 0752703.

Submitted: April 15, 2008. Accepted: May 2, 2008.

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Trent, T.T., Wick, B.D. Toeplitz Corona Theorems for the Polydisk and the Unit Ball. Complex Anal. Oper. Theory 3, 729 (2009). https://doi.org/10.1007/s11785-008-0083-9

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  • DOI: https://doi.org/10.1007/s11785-008-0083-9

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