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Addendum to the paper 'A note on weighted Bergman spaces and the Cesàro operator'
- Source :
- Nagoya Math. J. 180 (2005), 77-90
- Publication Year :
- 2005
- Publisher :
- Duke University Press, 2005.
-
Abstract
- Let H(Dn) be the space of holomorphic functions on the unit polydisk Dn, and let , where p, q> 0, α = (α1,…,αn) with αj > -1, j =1,..., n, be the class of all measurable functions f defined on Dn such thatwhere Mp(f,r) denote the p-integral means of the function f. Denote the weighted Bergman space on . We provide a characterization for a function f being in . Using the characterization we prove the following result: Let p> 1, then the Cesàro operator is bounded on the space .
- Subjects :
- Pure mathematics
010308 nuclear & particles physics
General Mathematics
Operator (physics)
010102 general mathematics
Mathematical analysis
Weighted Bergman space
Addendum
01 natural sciences
Bergman space
0103 physical sciences
ComputingMethodologies_DOCUMENTANDTEXTPROCESSING
46E15
0101 mathematics
polydisk
Cesàro operator
Mathematics
Bergman kernel
47B38
Subjects
Details
- Language :
- English
- ISSN :
- 00277630
- Database :
- OpenAIRE
- Journal :
- Nagoya Math. J. 180 (2005), 77-90
- Accession number :
- edsair.doi.dedup.....a6fca8479eba21f50f532a593f3041f1