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

ZeHua Zhou | Zendy; Min Zhu | Zendy

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

Author(s) -

ZeHua Zhou,

Min Zhu

Publication year - 2009

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2009/548956

Subject(s) - mathematics , unit sphere , besov space , pure mathematics , type (biology) , bloch space , ball (mathematics) , interpolation space , mathematical analysis , functional analysis , compact space , ecology , biochemistry , chemistry , biology , gene

Let be a holomorphic of the unit ball B in the n-dimensionalcomplex 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 abrief introduction to well known results about Cesáro operator, we investigatethe boundedness and compactness of Tg between generalized Besov space B(p, q)and α- Bloch space ℬα in the unit ball, and also present some necessary and sufficient conditions

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