Double integral characterizations of harmonic Bergman spaces
- Authors
- Choe, Boo Rim; Nam, Kyesook
- Issue Date
- 15-7월-2011
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Weighted harmonic Bergman spaces; Unit ball; Upper half-space
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.379, no.2, pp.889 - 909
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 379
- Number
- 2
- Start Page
- 889
- End Page
- 909
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/111986
- DOI
- 10.1016/j.jmaa.2011.02.024
- ISSN
- 0022-247X
- Abstract
- Recently Li et al. have characterized, except for a critical case, the weighted Bergman spaces over the complex ball by means of integrability conditions of double integrals associated with difference quotients of holomorphic functions. In this paper we extend those characterizations to the case of weighted harmonic Bergman spaces over the real ball and complement their results by providing a characterization for the missing critical case. We also investigate the possibility of extensions to the half-space setting. Our observations reveal an interesting half-space phenomenon caused by the unboundedness of the half-space. (C) 2011 Elsevier Inc. All rights reserved.
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