TY - JOUR
T1 - Norm estimates of the pre-Schwarzian derivatives for certain classes of univalent functions
AU - Kim, Yong Chan
AU - Sugawa, Toshiyuki
N1 - Funding Information:
Acknowledgements. Y.C.K. was supported by the Korea Basic Science Research Foundation, under grant no. DP0022. T.S. was partly supported by the Ministry of Education, Grant-in-Aid for Encouragement of Young Scientists, 9740056 and 14740100.
Copyright:
Copyright 2006 Elsevier B.V., All rights reserved.
PY - 2006/2
Y1 - 2006/2
N2 - A sharp norm estimate will be given to the pre-Schwarzian derivatives of close-to-convex functions of specified type. In order to show the sharpness, we introduce a kind of maximal operator which may be of independent interest. We also discuss a relation between the subclasses of close-to-convex functions and the Hardy spaces.
AB - A sharp norm estimate will be given to the pre-Schwarzian derivatives of close-to-convex functions of specified type. In order to show the sharpness, we introduce a kind of maximal operator which may be of independent interest. We also discuss a relation between the subclasses of close-to-convex functions and the Hardy spaces.
KW - Close-to-convex function
KW - Pre-Schwarzian derivative
KW - Uniformly locally univalent
UR - http://www.scopus.com/inward/record.url?scp=31944450259&partnerID=8YFLogxK
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U2 - 10.1017/S0013091504000306
DO - 10.1017/S0013091504000306
M3 - Article
AN - SCOPUS:31944450259
VL - 49
SP - 131
EP - 143
JO - Proceedings of the Edinburgh Mathematical Society
JF - Proceedings of the Edinburgh Mathematical Society
SN - 0013-0915
IS - 1
ER -