The paper gives some characterization theorems for the compact composition operator on some function spaces over the unit ball B n in ? n . Especially, it gives a characterization for compact composition operators on ...The paper gives some characterization theorems for the compact composition operator on some function spaces over the unit ball B n in ? n . Especially, it gives a characterization for compact composition operators on BMOA(B n ), which generalizes a result proved by Bourdon, Cima and Matheson for the case n = 1.展开更多
In this paper we establish characterizations of α-Bloch functions on the unit ball without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao.
We investigate the adjoints of linear fractional composition operators C ? acting on classical Dirichlet space D(B N ) in the unit ball B N of ? N , and characterize the normality and essential normality of C ? on D(B...We investigate the adjoints of linear fractional composition operators C ? acting on classical Dirichlet space D(B N ) in the unit ball B N of ? N , and characterize the normality and essential normality of C ? on D(B N ) and the Dirichlet space modulo constant function D 0(B N ), where ? is a linear fractional map ? of B N . In addition, we also show that for any non-elliptic linear fractional map ? of B N , the composition maps σ o ? and ? o σ are elliptic or parabolic linear fractional maps of B N .展开更多
文摘The paper gives some characterization theorems for the compact composition operator on some function spaces over the unit ball B n in ? n . Especially, it gives a characterization for compact composition operators on BMOA(B n ), which generalizes a result proved by Bourdon, Cima and Matheson for the case n = 1.
基金the National Natural Science Foundation of China (Grant No. 10671093)
文摘In this paper we establish characterizations of α-Bloch functions on the unit ball without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao.
基金supported by National Natural Science Foundation of China (Grant Nos. 10671141, 10371091)
文摘We investigate the adjoints of linear fractional composition operators C ? acting on classical Dirichlet space D(B N ) in the unit ball B N of ? N , and characterize the normality and essential normality of C ? on D(B N ) and the Dirichlet space modulo constant function D 0(B N ), where ? is a linear fractional map ? of B N . In addition, we also show that for any non-elliptic linear fractional map ? of B N , the composition maps σ o ? and ? o σ are elliptic or parabolic linear fractional maps of B N .
