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http://dx.doi.org/10.4134/CKMS.2006.21.3.419

A BMO TYPE CHARACTERIZATION OF WEIGHTED LIPSCHITZ FUNCTIONS IN TERMS OF THE BEREZIN TRANSFORM

Cho, Hong-Rae (Department of Mathematics Pusan National University)
Seo, Yeoung-Tae (Department of Mathematics Pusan National University)

Publication Information

Communications of the Korean Mathematical Society / v.21, no.3, 2006 , pp. 419-428 More about this Journal

Abstract

The Berezin transform is the analogue of the Poisson transform in the Bergman spaces. Dyakonov characterize the holomorphic weighted Lipschitz function in the unit disk in terms of the Possion integral. In this paper, we characterize the harmonic weighted Lispchitz function in terms of the Berezin transform instead of the Poisson integral.

Keywords

weighted Lipschitz space of harmonic functions; Berezin transform; a regular modulus of continuity;

Citations & Related Records

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