Product Property of Certain Extremal Functions

Authors: Nguyễn Quang Diệu, Nguyễn Văn Trào,

https://doi.org/10.1080/0278107031000152580

Publisher, magazine: ,

Publication year: 2003

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Abstract

We establish two results that generalize the result of Jarnicki and Pflug for the Caratheodory function and the result of Larusson and Sigurdsson for the Lempert function. We also show that the Lempert function does not have the product property in the bidisk.

Tags: Product property, Plurisubharmonic function, Pluricomplex Green function, Lempert function, Caratheodory function