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Characterizations of the harmonic Bergman space on the ball
- Authors
- Choi, Eun Sun; Na, Kyunguk
- Issue Date
- 1-5월-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
- 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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