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On Nontangential Limits and Shift Invariant Subspaces

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Abstract

In 1998, Conway and Yang wrote a paper (Holomorphic spaces, MSRI Publications, vol 33, pp 201–209, 1998) in which they posed a number of open questions regarding the shift on \(P^t(\mu )\) spaces. A few of these have been completely resolved, while at least one remains wide open. In this paper, we review some of the solutions, mention some alternate approaches and discuss further the problem that remains unsolved.

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Authors and Affiliations

  1. Department of Mathematics, University of Arkansas, Fayetteville, AR , 72701, USA

    John R. Akeroyd

  2. Department of Mathematics, The George Washington University, Washington, DC , 20052, USA

    John B. Conway

  3. Department of Mathematics, Virginia Polytechnic and State University, Blacksburg, VA , 24061, USA

    Liming Yang

Authors
  1. John R. Akeroyd
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  2. John B. Conway
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  3. Liming Yang
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Correspondence to John R. Akeroyd.

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Akeroyd, J.R., Conway, J.B. & Yang, L. On Nontangential Limits and Shift Invariant Subspaces. Integr. Equ. Oper. Theory 91, 2 (2019). https://doi.org/10.1007/s00020-018-2499-6

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  • DOI: https://doi.org/10.1007/s00020-018-2499-6

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