Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball
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 investiga...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/548956 |
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| Summary: | 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. |
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| ISSN: | 0972-6802 |