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ON UNIVALENT BLOCH FUNCTIONS

ON UNIVALENT BLOCH FUNCTIONS
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摘要 A new characterization of univalent Bloch functions is given by investigating the growth order of an essentially increasing function. Our contribution can be considered as a slight improvement of the well-known Pommerenke's result and its all generalizations, and the proof presented in this paper is independently developed. A new characterization of univalent Bloch functions is given by investigating the growth order of an essentially increasing function. Our contribution can be considered as a slight improvement of the well-known Pommerenke's result and its all generalizations, and the proof presented in this paper is independently developed.
作者 乌兰哈斯
出处 《Acta Mathematica Scientia》 SCIE CSCD 2001年第1期37-40,共4页 数学物理学报(B辑英文版)
基金 This research was supported in part by a grant from the Vaisala Fund, Finland
关键词 univalent Bloch functions essentially increasing functions Q(p) spaces univalent Bloch functions essentially increasing functions Q(p) spaces
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参考文献1

  • 1Ch. Pommerenke.Schlichte Funktionen und analytische Funktionen von beschr?nkter mittlerer Oszillation[J].Commentarii Mathematici Helvetici.1977(1)

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