Carleson Measure of Harmonic Schwarzian Derivatives Associated with a Finitely Generated Fuchsian Group of the Second Kind

Let SHf be the Schwarzian derivative of a univalent harmonic function f in the unit disk D, compatible with a finitely generated Fuchsian group G of the second kind. We show that if SHf21−z23dxdy satisfies the Carleson condition on the infinite boundary of the Dirichlet fundamental domain F of G, th...

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Bibliographic Details
Main Authors: Guangming Hu, Yutong Liu, Yu Sun, Xinjie Qian
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5523454