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双调和型映照的Landau定理

DOI: 10.11830/ISSN.1000-5013.2014.01.0102

Keywords: 双调和型映照, Landau定理, 微分算子, Schwarz引理

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Abstract:

利用单位圆盘上有界调和映照的系数估计及Schwarz引理,对双调和映照F(z)及其在微分算子L作用下LF(z)的Landau定理中的单叶半径进行估计.所得结果改进了刘名生等和Chen等的研究结果.

References

[1]  LEWY H.On the non-vanishing of the Jacobian in certain one-to-one mappings[J].Bull Amer Math Soc,1936,42(10):689-692.
[2]  ABDULHADI Z,MUHANNA Y,KHURI S.On univalent solutions of the biharmonic equations[J].Journal of Inequalities Applications,2005(5):469-478.
[3]  ABDULHADI Z,MUHANNA Y,KHURI S.On some properties of solutions of the biharmonic equation[J].Applied Mathematics and Computation,2006,177(1):346-351.
[4]  LIU Ming-sheng,LIU Zhi-wen.On bloch constants for certain harmonic mappings[J].Southeast Asian Bulletin of Mathematics,2012,36(3):1-10.
[5]  刘名生,刘志文,朱玉灿.某类双调和映射的Landau型定理[J].数学学报,2011,54(1):69-80.
[6]  COLONNA F.The Bloch constant of bounded harmonic mappings[J].Indiana Univ Math J,1989,38:829-840.
[7]  LIU Ming-sheng.Landau theorem for planar harmonic mappings[J].Comput Math Appl,2009,57(7):1142-1126.
[8]  夏小青,黄心中.一类双调和映照的单叶半径估计[J].华侨大学学报:自然科学版,2011,32(2):218-221.
[9]  CHEN S,PONNUSAM S,WANG X.Landau theorem for certain biharmonic mappings[J].Applied Mathematics and Computation,2009,208(2):427-433.
[10]  CHEN S,PONNUSAM S,WANG X.On properties of solutions of the p-harmonic equation[EB/OL].(2012-04-12)[2012-09-30] .http://arxiv.org/pdf/1204.2767.pdf.
[11]  夏小青,黄心中.平面有界调和函数的Bloch常数估计[J].数学年刊,2010,31A(6):769-776.

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