The isoperimetric type and Fejer-Riesz type inequalities for pluriharmonic mappings

XianTao WANG; Saminathan PONNUSAMY; ShaoLin CHEN

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Scientia Sinica Mathematica

Article . 2014 . Peer-reviewed

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https://dx.doi.org/10.1360/012...

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The isoperimetric type and Fejer-Riesz type inequalities for pluriharmonic mappings

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:Science China Press., Co. Ltd.Journal:SCIENTIA SINICA Mathematica, volume 44, pages 127-138 (issn: 1674-7216,

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Authors: XianTao WANG; Saminathan PONNUSAMY; ShaoLin CHEN;

doi: 10.1360/012013-161

The isoperimetric type and Fejer-Riesz type inequalities for pluriharmonic mappings

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Abstract

We investigate the isoperimetric type and Fejer-Riesz type inequalities for pluriharmonic mappings. Firstly, we improve the corresponding result of Kalaj and Mestrovic, and then we generalize it to pluriharmonic mappings. Secondly, we extend the corresponding result of Pavlovic and Dostanic to pluriharmonic mappings. Finally, we establish the Fejer-Riesz type inequality for pluriharmonic mappings.

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Indian Statistical Institute
India

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