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http://dx.doi.org/10.5831/HMJ.2021.43.4.691

AN ELEMENTARY COMPUTATION OF HANKEL MATRICES ON THE UNIT DISC

Chung, Young-Bok (Department of Mathematics, Chonnam National University)

Publication Information

Honam Mathematical Journal / v.43, no.4, 2021 , pp. 691-700 More about this Journal

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.

Keywords

Henkel operator; Hankel matrix; Hardy space;

Citations & Related Records

Reference

1	Young-Bok Chung, Classification of Toeplitz operators on Hardy spaces of bounded domains in the plane, Math. Notes 101 (2017), no. 3-4, 529-541. DOI
2	Young-Bok Chung, Special orthonormal basis for L² functions on the unit circle, Bull. Korean Math. Soc. 54 (2017), no.6, 2013-2027. DOI
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. DOI