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Product Property of Certain Extremal Functions

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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.

Keywords: 32U09; AMS Subject Classifications: 32U05; Caratheodory function; Lempert function; Pluricomplex Green function; Plurisubharmonic function; Product property

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/0278107031000152580

Publication date: August 1, 2003

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