Harmonic Bergman functions as radial derivatives of Bergman functions

Boo Rim Choe; Hyungwoon Koo; Heungsu Yi

doi:10.1090/S0002-9939-02-06531-0

Harmonic Bergman functions as radial derivatives of Bergman functions

Boo Rim Choe, Hyungwoon Koo, Heungsu Yi

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In the setting of the half-space of the euclidean n-space, we show that every harmonic Bergman function is the radial derivative of a Bergman function with an appropriate norm bound.

Original language	English
Pages (from-to)	401-408
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-02-06531-0
Publication status	Published - 2003 Feb

Keywords

Bergman functions
Radial derivative
Upper half-space

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-02-06531-0

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title = "Harmonic Bergman functions as radial derivatives of Bergman functions",

abstract = "In the setting of the half-space of the euclidean n-space, we show that every harmonic Bergman function is the radial derivative of a Bergman function with an appropriate norm bound.",

keywords = "Bergman functions, Radial derivative, Upper half-space",

author = "Choe, {Boo Rim} and Hyungwoon Koo and Heungsu Yi",

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AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Yi, Heungsu

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N2 - In the setting of the half-space of the euclidean n-space, we show that every harmonic Bergman function is the radial derivative of a Bergman function with an appropriate norm bound.

AB - In the setting of the half-space of the euclidean n-space, we show that every harmonic Bergman function is the radial derivative of a Bergman function with an appropriate norm bound.

KW - Bergman functions

KW - Radial derivative

KW - Upper half-space

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JO - Proceedings of the American Mathematical Society

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IS - 2

ER -

Harmonic Bergman functions as radial derivatives of Bergman functions

Abstract

Keywords

ASJC Scopus subject areas

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