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)
관련 논문AI추천
Remarks on weighted harmonic Bergman functions on half-spaces이흥수장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호Weighted Harmonic Bergman functions on Half-Spaces구형운, 남계숙, 이흥수대한수학회 · 대한수학회지2005 · 제42권 제5호SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACESSongxiao Li대한수학회 · 대한수학회보2010 · 제47권 제6호Weighted Bloch spaces and some operators induced by radial derivatives강시호대한수학회 · 대한수학회보2004 · 제41권 제2호SOME REMARKS ON EXTREMAL PROBLEMS IN WEIGHTED BERGMAN SPACES OF ANALYTIC FUNCTIONS이현호, Milos Arsenovic, Romi F. Shamoyan대한수학회 · 대한수학회논문집2012 · 제27권 제4호Lipschitz type characterizations of harmonic Bergman spaces남계숙대한수학회 · 대한수학회보2013 · 제50권 제4호
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