Boundary behavior of Gleason's problem in hyperbolic harmonic Bergman spaces Boundary behavior of Gleason’s problem in hyperbolic harmonic Bergman spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Boundary behavior of Gleason's problem in hyperbolic harmonic Bergman spaces

作者姓名：	Uwe Khler

作者单位：	Department of

摘要：	Necessary and sufficient conditions are obtained for the boundedness of Berezin transformation on Lebesgue space Lp(B, dVβ) in the real unit ball B in Rn. As an application, we prove that Gleason type problem is solvable in hyperbolic harmonic Bergman spaces. Furthermore we investigate the boundary behavior of the solutions of Gleason type problem.
Boundary behavior of Gleason’s problem in hyperbolic harmonic Bergman spaces

Guangbin?RenEmail author,K?hler?Uwe.Boundary behavior of Gleason's problem in hyperbolic harmonic Bergman spaces[J].Science in China(Mathematics),2005,48(2):145-154.

Authors:	Email author" target="_blank">Guangbin?Ren Email author K?hler?Uwe

Institution:	Ren Guangbin,Uwe K(a)hler

Abstract:	Necessary and sufficient conditions are obtained for the boundedness of Berezin transformation on Lebesgue space L^p(B, dV_β) in the real unit ballB in ?ⁿ. As an application, we prove that Gleason type problem is solvable in hyperbolic harmonic Bergman spaces. Furthermore we investigate the boundary behavior of the solutions of Gleason type problem.

Keywords:	hyperbolic harmonic functions Berezin transformation Gleason's problem
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