Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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A SHARP SCHWARZ AND CARATHÉODORY INEQUALITY ON THE BOUNDARY

  • Received : 2013.05.03
  • Published : 2014.01.31
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Abstract

In this paper, a boundary version of the Schwarz and Carath$\acute{e}$odory inequality are investigated. New inequalities of the Carath$\acute{e}$odory's inequality and Schwarz lemma at boundary are obtained by taking into account zeros of f(z) function which are different from zero. The sharpness of these inequalities is also proved.

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References

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