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Norm of the Cauchy Transform

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Abstract

We pose the problem of determining the exact value of the operator norm of the Cauchy transform. A lower bound of the norm is presented.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, Anhui, People’s Republic of China

    Congwen Liu

  2. Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, Hefei, People’s Republic of China

    Congwen Liu

Authors
  1. Congwen Liu
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Corresponding author

Correspondence to Congwen Liu.

Additional information

This work was supported by the National Natural Science Foundation of China grants 11571333, 11471301.

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Liu, C. Norm of the Cauchy Transform. Integr. Equ. Oper. Theory 85, 303–306 (2016). https://doi.org/10.1007/s00020-016-2294-1

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  • DOI: https://doi.org/10.1007/s00020-016-2294-1

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