논문KCI 등재
A SHARP SCHWARZ AND CARATHEODORY INEQUALITY ON THE BOUNDARY
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초록
In this paper, a boundary version of the Schwarz and Carathèodory inequality are investigated. New inequalities of the Carathèodory’s inequality and Schwarz lemma at boundary are obtained by taking into account zeros of f(z) function which are different from zero. The sharp- ness of these inequalities is also proved.
Abstract
In this paper, a boundary version of the Schwarz and Carathèodory inequality are investigated. New inequalities of the Carathèodory’s inequality and Schwarz lemma at boundary are obtained by taking into account zeros of f(z) function which are different from zero. The sharp- ness of these inequalities is also proved.
참고문헌 (4)
- G. Kresin, "Sharp Real-Part Theorems: A Unified Approach, Lecture Notes in Mathematics", Springer (2007)
- A. I. Markushevich, "Theory of Functions of a Complex Variable. Vol. I" (1965), Prentice-Hall, Inc.
- R. Osserman, "A sharp Schwarz inequality on the boundary", Proc. Amer. Math. Soc, 128(12), pp.3513~3517 (2000)
- Ch. Pommerenke, "Boundary Behaviour of Conformal Maps" (1992), Springer-Verlag
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