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WEIGHTED LIPSCHITZ CONTINUITY AND HARMONIC BLOCH AND BESOV SPACES IN THE REAL UNIT BALL

Published online by Cambridge University Press:  15 September 2005

Guangbin Ren  and
Uwe Kähler
Guangbin Ren
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei 230026, People's Republic of China ([email protected])
Uwe Kähler
Affiliation:
Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal ([email protected])
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Abstract

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The characterization by weighted Lipschitz continuity is given for the Bloch space on the unit ball of $\mathbb{R}^n$. Similar results are obtained for little Bloch and Besov spaces.

Keywords

Primary 42B35Secondary 31B0532A5032C50harmonic function theoryBloch spaceBerov spaceweighted Lipschitz continuity
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 48 , Issue 3 , October 2005 , pp. 743 - 755
Copyright
Copyright © Edinburgh Mathematical Society 2005