Composition operators between Bloch-type spaces in the polydisc  

作　　者：HU Zhangjian 

机构地区：[1]Huzhou Teachers College,Huzhou,313000,China

出　　处：《Science China Mathematics》2005年第z1期268-282,共15页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.10471039);the Natural Science Foundation of Zhejiang Ptovince(Grant No.M103104).

摘　　要：We characterize those holomorphic mappings (?) from the polydisc Dn in Cn to itself for which the induced composition operators C(?) are bounded (or compact) from the Bloch-type space Bω to Bμ (respectively, from the little Bloch-type space Bω,0 to Bμ,0), where ω is a normal function on [0,1) and μ is a nonnegative function on [0,1) with μ(tn) > 0 for some sequence {tn}n=1∞(?)[0,1) satisfying limn→∞ tn = 1.We characterize those holomorphic mappings ψ from the polydisc Dn in Cn to itself for which the induced composition operators Cψ are bounded (or compact) from the Bloch-type space Bω to βμ (respectively, from the little Bloch-type space Bω,0 to Bμ,0),where ω is a normal function on [0, 1) andμ is a nonnegative function on [0, 1) withμ(tn) ＞ 0for some sequence {tn}n∞n=1(∪) [0, 1) satisfying limn→∞ tn = 1.

关 键 词：Bloch-type space  COMPOSITION operator  boundedness  compactness. 

分 类 号：N[自然科学总论]