논문KCI 등재
WEIGHED HARMONIC BERGMAN FUNCTIONS AS RADIAL DERIVATIVES OF BERGMAN FUNCTIONS ON HALF-SPACES
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초록
On the setting of the upper half-space H of the euclidean n-spaces,we show that given weighted harmonic Bergman function u on H, there exists a unique weighted harmonic Bergman function eu on H satisfying u = Reu with an appropriate norm bound, where R denotes the radial di®erentiation.
Abstract
On the setting of the upper half-space H of the euclidean n-spaces,we show that given weighted harmonic Bergman function u on H, there exists a unique weighted harmonic Bergman function eu on H satisfying u = Reu with an appropriate norm bound, where R denotes the radial di®erentiation.
참고문헌 (4)
- S. Axler, "Harmonic Function Theory" (2001), Springer-Verlag
- B. R. Choe, "Harmonic Bergman Functions as Radial Derivatives of Bergman Functions", Proc. Amer. Math. Soc., 131, pp.401~408 (2002)
- Hyungwoon Koo, "Weighted Harmonic Bergman functions on Half-Spaces", 대한수학회지, 42(5), pp.975~1002 (2005), 대한수학회
- H. Koo, "Weighted harmonic Bergman kernel on Half-spaces", J. Math. Soc. Japan, 58, pp.351~362 (2006)
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