Extended Cesàro operators on Bergman spaces |
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| Authors: | Zhangjian Hu |
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| Affiliation: | Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, PR China Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599, USA |
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| Abstract: | We define an extended Cesàro operator Tg with holomorphic symbol g in the unit ball B of Cn. For a large class of weights w we characterize those g for which Tg is bounded (or compact) from Bergman space Lpa,w(B) to Lqa,w(B), 0<p,q<∞. In addition, we obtain some results about equivalent norms, the norm of point evaluation functionals, and the interpolation sequences on Lpa,w(B). |
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| Keywords: | Cesà ro operator Bergman space Normal weight |
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