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Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball
- Source :
- Journal of Function Spaces and Applications, Vol 7, Iss 3, Pp 209-223 (2009)
- Publication Year :
- 2009
- Publisher :
- Wiley, 2009.
-
Abstract
- Let 𝑔 be a holomorphic of the unit ball B in the n-dimensional complex space, and denote by Tg the extended Cesáro operator with symbol g. Let 0 < p < +∞, −n − 1 < q < +∞, q > −1 and α > 0, starting with a brief introduction to well known results about Cesáro operator, we investigate the boundedness and compactness of Tg between generalized Besov space B(p, q) and 𝛼α- Bloch space ℬα in the unit ball, and also present some necessary and sufficient conditions.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 09726802
- Volume :
- 7
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Function Spaces and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.13899f47c6c44fb082e9cd7423339698
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2009/548956