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Essential Norm Estimates for Little Hankel Operators with Anti Holomorphic Symbols on Weighted Bergman Spaces of the Unit Ball

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Abstract

We give estimates for the essential norm of a little Hankel operator with anti holomorphic symbol on weighted Bergman spaces of the unit ball in terms of the Bloch semi-norm of its symbol function.

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Acknowledgements

The authors wish to thank to Prof. N. Suzuki and Prof. M. Nishio for useful advice and comments during the preparation of this paper. The authors also thank the referee for careful reading and useful comments.

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Authors and Affiliations

  1. Daido University, Takiharu-cho, Minami-ku, Nagoya, 457-8530, Japan

    K. Tanaka

  2. Kobe City College of Technology, Gakuen-Higashimachi, Nishi-ku, Kobe, 651-2194, Japan

    S. Yamaji

Authors
  1. K. Tanaka
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  2. S. Yamaji
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Correspondence to K. Tanaka.

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Tanaka, K., Yamaji, S. Essential Norm Estimates for Little Hankel Operators with Anti Holomorphic Symbols on Weighted Bergman Spaces of the Unit Ball. Anal Math 45, 841–853 (2019). https://doi.org/10.1007/s10476-019-1188-2

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  • DOI: https://doi.org/10.1007/s10476-019-1188-2

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