Harmonic Bergman functions as radial derivatives of Bergman functions
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- by Boo Rim Choe, Hyungwoon Koo and HeungSu Yi PDF
- Proc. Amer. Math. Soc. 131 (2003), 401-408 Request permission
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.References
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Additional Information
- Boo Rim Choe
- Affiliation: Department of Mathematics, Korea University, Seoul 136–701, Korea
- MR Author ID: 251281
- Email: choebr@math.korea.ac.kr
- Hyungwoon Koo
- Affiliation: Department of Mathematics, Korea University, Seoul 136–701, Korea
- MR Author ID: 606733
- Email: koohw@math.korea.ac.kr
- HeungSu Yi
- Affiliation: Department of Mathematics, Kwangwoon University, Seoul 139–701, Korea
- Email: hsyi@gwu.ac.kr
- 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
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 401-408
- MSC (2000): Primary 31B05, 31B10; Secondary 32A36
- DOI: https://doi.org/10.1090/S0002-9939-02-06531-0
- MathSciNet review: 1933330