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Compact linear combinations of composition operators induced by linear fractional maps
- Authors
- Choe, Boo Rim; Koo, Hyungwoon; Wang, Maofa; Yang, Jongho
- Issue Date
- 8월-2015
- Publisher
- SPRINGER HEIDELBERG
- Keywords
- Linear combination of composition operators; Linear fractional map; Compact operator; Hardy space; Weighted Bergman space
- Citation
- MATHEMATISCHE ZEITSCHRIFT, v.280, no.3-4, pp.807 - 824
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATISCHE ZEITSCHRIFT
- Volume
- 280
- Number
- 3-4
- Start Page
- 807
- End Page
- 824
- ISSN
- 0025-5874
- Abstract
- It has been known that the difference of two composition operators induced by linear fractional self-maps of a ball cannot be nontrivially compact on either the Hardy space or any standard weighted Bergman space. In this paper we extend this result in two significant directions: the difference is extended to general linear combinations and inducing maps are extended to linear fractional maps taking a ball into another possibly of different dimension.
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