Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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AN ELEMENTARY COMPUTATION OF HANKEL MATRICES ON THE UNIT DISC

  • Received : 2021.07.25
  • Accepted : 2021.08.30
  • Published : 2021.12.25
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Abstract

In this paper, we compute directly the Hankel matrix representation of the Hankel operator on the Hardy space of the unit disc without using any classical kernel functions with respect to special orthonormal bases for the Hardy space and its orthogonal complement. This gives an elementary proof for the formula.

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References

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  2. Young-Bok Chung, Special orthonormal basis for L2 functions on the unit circle, Bull. Korean Math. Soc. 54 (2017), no.6, 2013-2027. https://doi.org/10.4134/BKMS.b160697
  3. Young-Bok Chung, Computation of Hankel matrices in terms of classical kernel functions in potential theory, J. Korean Math. Soc. 57 (2020), no.4, 973-986. https://doi.org/10.4134/JKMS.j190487