1994Bulletin of the Korean Mathematical SocietyRequires access

THE BERGMAN KERNEL FUNCTION AND THE DENSITY THEOREMS IN THE PLANE

Moonja Jeong

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Abstract

The Bergman kernel is closely connected to mapping problems in complex analysis. For example, the Riemann mapping function is witten down in terms of the Bergman kernel. Hence, information about the bergman kernel gives information about mappings. In this note, we prove the following theorem.

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The Bergman kernel is closely connected to mapping problems in complex analysis. For example, the Riemann mapping function is witten down in terms of the Bergman kernel. Hence, information about the bergman kernel gives information about mappings. In this note, we prove the following theorem.

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Available abstract

The Bergman kernel is closely connected to mapping problems in complex analysis. For example, the Riemann mapping function is witten down in terms of the Bergman kernel. Hence, information about the bergman kernel gives information about mappings. In this note, we prove the following theorem.

Key concepts: Bergman kernel, Mathematics, Bergman space, Kernel (algebra), Pure mathematics, Riemann hypothesis, Function (biology), Discrete mathematics

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