Supported by the NNSF of China(10471039);the Natural Science Foundation of Zhejiang Province(M103 104);the Natural Science Foundation of Huzhou City(2005YZ02).
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...
National Natural Science Foundation of China (10471039) ;Natural Science Foundation of ZhejiangProvince( M103104 ,Y606197);Natural Science Foundation of Huzhou City (2005YZ02)
This work is partially supported by the National Natural Science Foundation of China(Grant No.10471039);the Natural Science Foundation of Zhejiang Province(Grant No.M103104).The authors thank the referee for his(her)valuable suggestion.
Let Ω(∈) Rn be a bounded convex domain with C2 boundary. For 0 < p,q ≤∞ and a normal weight ψ, the mixed norm space Hp,q,ψk,(Ω) consists of all polyharmonic functions f of order k for which the mixed norm ||·...
supported by the National Natural Science Foundation of China(Grant No.10471039);the Natural Science Foundation of Zhejiang Ptovince(Grant No.M103104).
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 th...