In this paper,necessary and sufficient conditions are given for the weighted composition operator T_(ψ,ψ) to be bounded or compact from the space β_μ to β_ν (or β_(μ,0) to β_(ν,0) ) on the unit ball of C^n.A...In this paper,necessary and sufficient conditions are given for the weighted composition operator T_(ψ,ψ) to be bounded or compact from the space β_μ to β_ν (or β_(μ,0) to β_(ν,0) ) on the unit ball of C^n.At the same time,a series of corollaries are also obtained.展开更多
基金supported by the Foundation of Education Department of Hunan Province(Grant No.04C328)the Natrual Science Foundation of Zhejiang Province(Grant Nos.M103104&Y604569)the Science and Technology Foundation of Education Department of China(Grant No,204063).
文摘In this paper,necessary and sufficient conditions are given for the weighted composition operator T_(ψ,ψ) to be bounded or compact from the space β_μ to β_ν (or β_(μ,0) to β_(ν,0) ) on the unit ball of C^n.At the same time,a series of corollaries are also obtained.
