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Estimates of solutions of the \(H^p\) and BMOA corona problem

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Abstract.

We prove new sharper estimates of solutions to the \(H^p\)-corona problem in strictly pseudoconvex domains; in particular we show that the constant is independent of the number of generators. We also obtain sharper estimates for solutions to the BMOA corona problem. The proofs also lead to new results about the Taylor spectrum of analytic Toeplitz operators on \(H^p\) and BMOA.

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Authors and Affiliations

  1. Department of Mathematics, Chalmers University of Technology and Göteborg University, S-412 96 Göteborg, Sweden (e-mail: matsa@math.chalmers.se, hasse@math.chalmers.se) , , , , , , SE

    Mats Andersson & Hasse Carlsson

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  1. Mats Andersson
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  2. Hasse Carlsson
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Received: 28 August 1998 / in final form: 9 February 1999

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Andersson, M., Carlsson, H. Estimates of solutions of the \(H^p\) and BMOA corona problem. Math Ann 316, 83–102 (2000). https://doi.org/10.1007/s002080050005

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  • DOI: https://doi.org/10.1007/s002080050005

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