Annales Academię Scientiarum Fennicę
Mathematica
Volumen 34, 2009, 347-351

COINCIDENCE OF HYPERBOLIC AND GENERALIZED KOBAYASHI DENSITIES ON PLANE DOMAINS

Kourosh Tavakoli

Fordham University, Department of Mathematics
441 E. Fordham Rd., Bronx, NY 10458, U.S.A.; tavakoli 'at' fordham.edu

Abstract. We show that under certain condition, the hyperbolic density and the generalized Kobayashi density coincide on a hyperbolic plane domain. This coincidence has a variety of results.

2000 Mathematics Subject Classification: Primary 30F45; Secondary 30C35.

Key words: Holomorphic function, hyperbolic density, generalized Kobayashi density, generalized Carathéodory density.

Reference to this article: K. Tavakoli: Coincidence of hyperbolic and generalized Kobayashi densities on plane domains. Ann. Acad. Sci. Fenn. Math. 34 (2009), 347-351.

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