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http://dx.doi.org/10.4134/BKMS.b160572

BLOCH-TYPE SPACES ON THE UPPER HALF-PLANE  

Fu, Xi (Department of Mathematics Shaoxing University)
Zhang, Junding (Department of Mathematics Shaoxing University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.4, 2017 , pp. 1337-1346 More about this Journal
Abstract
We define Bloch-type spaces of ${\mathcal{C}}^1({\mathbb{H}})$ on the upper half plane H and characterize them in terms of weighted Lipschitz functions. We also discuss the boundedness of a composition operator ${\mathcal{C}}_{\phi}$ acting between two Bloch spaces. These obtained results generalize the corresponding known ones to the setting of upper half plane.
Keywords
Bloch space; majorant; composition operator;
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Times Cited By KSCI : 1  (Citation Analysis)
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