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Toeplitz Operators on Analytic Besov Spaces

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Abstract.

We characterize complex measures μ on the unit disk for which the Toeplitz operator T μ is bounded or compact on the analytic Besov spaces B p with 1 ≤ p < ∞.

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Authors and Affiliations

  1. Department of Mathematics, University of Alabama, Tuscaloosa, AL, 35487, USA

    Zhijian Wu

  2. Department of Mathematics, SUNY Brockport, Brockport, NY, 14420, USA

    Ruhan Zhao

  3. Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada

    Nina Zorboska

Authors
  1. Zhijian Wu
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  2. Ruhan Zhao
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  3. Nina Zorboska
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Corresponding author

Correspondence to Nina Zorboska.

Additional information

Research supported in part by NSF grant, DMS 0200587 (first author); and by a NSERC grant (third author).

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Wu, Z., Zhao, R. & Zorboska, N. Toeplitz Operators on Analytic Besov Spaces. Integr. equ. oper. theory 60, 435–449 (2008). https://doi.org/10.1007/s00020-008-1553-1

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  • DOI: https://doi.org/10.1007/s00020-008-1553-1

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