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Boundedness of the Bergman type operators on mixed norm spaces
Authors:Yongmin Liu
Affiliation:Department of Mathematics, Xuzhou Normal University, Xuzhou, 221116, People's Republic of China
Abstract:Conditions sufficient for boundedness of the Bergman type operators on certain mixed norm spaces $L_{p,q}(varphi) (0<p<1, 1<q<infty)$ of functions on the unit ball of $C^n$ are given, and this is used to solve Gleason's problem for the mixed norm spaces $H_{p,q}(varphi) (0<p<1,1<q<infty)$.

Keywords:Bergman type operator, normal function, boundedness, H"  older inequality, Gleason's problem
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