Ze-Hua Zhou, Min Zhu, "Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball", Journal of Function Spaces, vol. 7, Article ID 548956, 15 pages, 2009. https://doi.org/10.1155/2009/548956
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 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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