Faber polynomials with applications to univalent functions with quasiconformal extensions  被引量:2

Faber polynomials with applications to univalent functions with quasiconformal extensions

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作  者:SHEN YuLiang Department of Mathematics, Soochow University, Suzhou 215006, China 

出  处:《Science China Mathematics》2009年第10期2121-2131,共11页中国科学:数学(英文版)

基  金:supported by the Program for New Century Excellent Talents in University (Grant No. 06-0504);National Natural Science Foundation of China (Grant No. 10771153)

摘  要:We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In particular, by introducing an operator on the usual l2 space, we obtain some new characterizations of quasiconformal extendablity and asymptotic conformality for univalent functions.We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In particular, by introducing an operator on the usual l 2 space, we obtain some new characterizations of quasiconformal extendablity and asymptotic conformality for univalent functions.

关 键 词:univalent function quasiconformal mapping Faber polynomial Grunsky operator 30C62 30C55 47B37 

分 类 号:O174.51[理学—数学]

 

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