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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Harmonic Bergman functions as radial derivatives of Bergman functions


Authors: Boo Rim Choe, Hyungwoon Koo and HeungSu Yi
Journal: Proc. Amer. Math. Soc. 131 (2003), 401-408
MSC (2000): Primary 31B05, 31B10; Secondary 32A36
Published electronically: September 19, 2002
MathSciNet review: 1933330
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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.


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Additional Information

Boo Rim Choe
Affiliation: Department of Mathematics, Korea University, Seoul 136–701, Korea
Email: choebr@math.korea.ac.kr

Hyungwoon Koo
Affiliation: Department of Mathematics, Korea University, Seoul 136–701, Korea
Email: koohw@math.korea.ac.kr

HeungSu Yi
Affiliation: Department of Mathematics, Kwangwoon University, Seoul 139–701, Korea
Email: hsyi@gwu.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06531-0
PII: S 0002-9939(02)06531-0
Keywords: Bergman functions, radial derivative, upper half-space
Received by editor(s): April 18, 2001
Published electronically: September 19, 2002
Additional Notes: This study was supported in part by the Research Grant of Kwangwoon University in 2001, KOSEF 2000-1-10100-001-3 and KOSEF 98-0701-03-01-5
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2002 American Mathematical Society