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http://dx.doi.org/10.5831/HMJ.2014.36.4.777

ORTHONORMAL BASIS FOR THE BERGMAN SPACE

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

Publication Information

Honam Mathematical Journal / v.36, no.4, 2014 , pp. 777-786 More about this Journal

Abstract

We construct an orthonormal basis for the Bergman space associated to a simply connected domain. We use the or-thonormal basis for the Hardy space consisting of the Szegő kernel and the Riemann mapping function and rewrite their area integrals in terms of arc length integrals using the complex Green's identity. And we make a note about the matrix of a Toeplitz operator with respect to the orthonormal basis constructed in the paper.

Keywords

Bergman space; Toeplitz operator; Hardy space; Ahlfors map; Szego kernel;

Citations & Related Records

Reference

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