A BMO type characterization of weighted Lipschitz functionsin terms of the Berezin transform

A BMO type characterization of weighted Lipschitz functionsin terms of the Berezin transform

The Berezin transform is the analogue of the Poissontransform in the Bergman spaces.Dyakonov characterize the holomorphic weighted Lipschitz functionin the unit disk in terms of the Poisson integral.In this paper, we characterize the harmonic weighted Lipschitz functionin terms of the Berezin transf...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2006, 21(3), , pp.419-428
Hauptverfasser: 조홍래, 서영태
Format: Artikel
Sprache:kor
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수학
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Zusammenfassung:The Berezin transform is the analogue of the Poissontransform in the Bergman spaces.Dyakonov characterize the holomorphic weighted Lipschitz functionin the unit disk in terms of the Poisson integral.In this paper, we characterize the harmonic weighted Lipschitz functionin terms of the Berezin transform instead of the Poisson integral. KCI Citation Count: 0
ISSN:1225-1763
2234-3024