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Characterizations of the harmonic Bergman space on the ball

Authors
Choi, Eun SunNa, Kyunguk
Issue Date
1-May-2009
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Keywords
Harmonic Bergman space; Hyperbolic metric; Lipschitz condition
Citation
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.353, no.1, pp.375 - 385
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume
353
Number
1
Start Page
375
End Page
385
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/120071
DOI
10.1016/j.jmaa.2008.11.085
ISSN
0022-247X
Abstract
In the harmonic Bergman space with the normal weight, we prove norm equivalences in terms of radial, gradient and invariant gradient norms. Using this, we give new characterizations in terms of Lipschitz type conditions with Euclidean, pseudo-hyperbolic and hyperbolic metrics on the ball. (C) 2008 Elsevier Inc. All rights reserved.
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