Record |
Author |
Hernandez, R.; Venegas, O. |
Title |
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings |
Type |
|
Year |
2019 |
Publication |
Complex Analysis And Operator Theory |
Abbreviated Journal |
Complex Anal. Oper. Theory |
Volume |
13 |
Issue |
4 |
Pages |
1783-1793 |
Keywords |
Schwarzian derivative; Harmonic mappings; Distortion theorems |
Abstract |
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and Osgood (J Lond Math Soc 2:289-298, 1993), which assert that the bounds of the size of the hyperbolic norm of the Schwarzian derivative for an analytic function f imply certain bounds for distortion and growth of f, are extended to the harmonic case. |
Address |
[Hernandez, Rodrigo] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Av Padre Hurtado 750, Vina Del Mar, Chile, Email: rodrigo.hernandez@uai.cl; |
Corporate Author |
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Thesis |
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Publisher |
Springer Basel Ag |
Place of Publication |
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Editor |
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Language |
English |
Summary Language |
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Original Title |
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Series Editor |
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Series Title |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
1661-8254 |
ISBN |
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Medium |
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Area |
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Expedition |
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Conference |
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Notes |
WOS:000469812800015 |
Approved |
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Call Number |
UAI @ eduardo.moreno @ |
Serial |
1030 |
Permanent link to this record |