Remarks on the Grunsky norm and pth root transformation

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摘要

We show that the norm of the Grunsky operator generated by a univalent function does not decrease with a pth root transformation, p⩾2. The result is sharp for each p.

论文关键词:30C70,30C35,30C45,Univalent functions,The Grunsky norm,Pth root transformation

论文评审过程:Received 5 September 1997, Revised 9 March 1998, Available online 7 September 1999.

论文官网地址:https://doi.org/10.1016/S0377-0427(99)00017-5