Necessary and sufficient conditions are established for a composition operator C(phi)f = f o phi to be bounded or compact on the Bers-type space H-alpha(infinity) and the little Bers-type space H-alpha(infinity). The ...Necessary and sufficient conditions are established for a composition operator C(phi)f = f o phi to be bounded or compact on the Bers-type space H-alpha(infinity) and the little Bers-type space H-alpha(infinity). The boundedness and compactness of the composition operator C-phi on A(infinity)(phi) are characterized, which generalize the case of C-phi on H-alpha(infinity).展开更多
This paper deals with the boundedness and compactness of the weighted composition operators from the F（p, q, s） spaces, including Hardy space, Bergman space, Qp space, BMOA space, Besov space and α-Bloch space, to ...This paper deals with the boundedness and compactness of the weighted composition operators from the F（p, q, s） spaces, including Hardy space, Bergman space, Qp space, BMOA space, Besov space and α-Bloch space, to Bers-type spaces Hv^∞（ or little Bers-type spaces Hv,o∞ ）, where v is normal.展开更多
This paper characterizes the boundedness and compactness of weighted composition operators between Bers-type space （or little Bers-type space） and Bergman space. Some estimates for the norm of weighted composition o...This paper characterizes the boundedness and compactness of weighted composition operators between Bers-type space （or little Bers-type space） and Bergman space. Some estimates for the norm of weighted composition operators between those spaces are obtained.展开更多
For α ∈ (0, ∞), let Hα∞ (or Hα,0∞) denote the collection of all functions f which are analytic on the unit disc D and satisfy |f(z)|(1-|z|2)α = O(1) (or |f(z)|(1 - |z|2)α = o(1) as |z| → 1). Hα∞(or Hα,0∞...For α ∈ (0, ∞), let Hα∞ (or Hα,0∞) denote the collection of all functions f which are analytic on the unit disc D and satisfy |f(z)|(1-|z|2)α = O(1) (or |f(z)|(1 - |z|2)α = o(1) as |z| → 1). Hα∞(or Hα,0∞) is called a Bers-type space (or a little Bers-type space).In this paper, we give some basic properties of Hα∞. C, the composition operator associated with a symbol function which is an analytic self map of D, is difined by Cf = f o . We characterize the boundedness and compactness of C which sends one Bers-type space to another function space.展开更多
基金the National Natural Science Foundation of China(19971091)
文摘Necessary and sufficient conditions are established for a composition operator C(phi)f = f o phi to be bounded or compact on the Bers-type space H-alpha(infinity) and the little Bers-type space H-alpha(infinity). The boundedness and compactness of the composition operator C-phi on A(infinity)(phi) are characterized, which generalize the case of C-phi on H-alpha(infinity).
基金Supported by the National Natural Science Foundation of China (10771064)the Natural Science Foundation of Zhejiang province (Y6090036+1 种基金Y7080197,Y606197)the Foundation of Department of Education of Zhejiang Province (20070482)
文摘This paper deals with the boundedness and compactness of the weighted composition operators from the F（p, q, s） spaces, including Hardy space, Bergman space, Qp space, BMOA space, Besov space and α-Bloch space, to Bers-type spaces Hv^∞（ or little Bers-type spaces Hv,o∞ ）, where v is normal.
基金Supported by the NNSF of China(10471039)the Natural Science Foundation of Zhejiang Province(M103 104)the Natural Science Foundation of Huzhou City(2005YZ02).
文摘This paper characterizes the boundedness and compactness of weighted composition operators between Bers-type space （or little Bers-type space） and Bergman space. Some estimates for the norm of weighted composition operators between those spaces are obtained.
文摘For α ∈ (0, ∞), let Hα∞ (or Hα,0∞) denote the collection of all functions f which are analytic on the unit disc D and satisfy |f(z)|(1-|z|2)α = O(1) (or |f(z)|(1 - |z|2)α = o(1) as |z| → 1). Hα∞(or Hα,0∞) is called a Bers-type space (or a little Bers-type space).In this paper, we give some basic properties of Hα∞. C, the composition operator associated with a symbol function which is an analytic self map of D, is difined by Cf = f o . We characterize the boundedness and compactness of C which sends one Bers-type space to another function space.
