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Zeitschrift für Analysis und ihre Anwendungen


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Volume 21, Issue 3, 2002, pp. 599–610
DOI: 10.4171/ZAA/1097

Published online: 2002-09-30

Weighted Hölder Continuity of Hyperbolic Harmonic Bloch functions

Guangbin Ren[1] and Uwe Kähler[2]

(1) University of Science and Technology of China, Hefei, China
(2) Universidade de Aveiro, Portugal

Characterizations of weighted Hölder continuity and weighted Lipschitz continuity are obtained for the hyperbolic Bloch functions on the unit ball of $\mathbb R^n$. Similar results are extended to hyperbolic little Bloch and Besov spaces.

Keywords: Hyperbolic Bloch space, hyperbolic Besov spaces, invariant Laplacian

Ren Guangbin, Kähler Uwe: Weighted Hölder Continuity of Hyperbolic Harmonic Bloch functions. Z. Anal. Anwend. 21 (2002), 599-610. doi: 10.4171/ZAA/1097