Extended Cesáro operators between generalized Besov spaces and Bloch type spaces in the unit ball

摘要

Let ?? be a holomorphic of the unit ballBin then-dimensionalcomplex space, and denote byTgthe extended Cesáro operator with symbolg.Let 0 < +∞, ?n? 1 ?1 and α > 0, starting with abrief introduction to well known results about Cesáro operator, we investigatethe boundedness and compactness ofTgbetween generalized Besov spaceB(p, q)and ??α- Bloch space?αin the unit ball, and also present some necessary and sufficient conditions.