Composition operators are used to study the E0(p,q) spaces, which coincide with the space Qq,0 for p = 2 and the little Bloch space B0 for p > 0 and q > 1. The compactness of these operators is also considered. ...Composition operators are used to study the E0(p,q) spaces, which coincide with the space Qq,0 for p = 2 and the little Bloch space B0 for p > 0 and q > 1. The compactness of these operators is also considered. The criteria for these operators to be compact are given in terms of the Carlesou measure.展开更多
This paper deals with the pointwise multipliers from space F（p, q, s） to space βα on the unit ball B of C^n. The multiplier spaces M（F（p, q, s）,βα） are fully characterized.
The molecular characterization of the weighted atomic Hardy space Hw p,q,s is given. As an application, the boundedness of Hilbert transform on the weighted Hardy space is proved.
文摘Composition operators are used to study the E0(p,q) spaces, which coincide with the space Qq,0 for p = 2 and the little Bloch space B0 for p > 0 and q > 1. The compactness of these operators is also considered. The criteria for these operators to be compact are given in terms of the Carlesou measure.
基金the National Natural Science Foundation of China(19871026).
文摘This paper deals with the pointwise multipliers from space F（p, q, s） to space βα on the unit ball B of C^n. The multiplier spaces M（F（p, q, s）,βα） are fully characterized.
基金This work was supported by the National Natural Science Foundation of China (Grant Nos. 19631080, 69735020)
文摘The molecular characterization of the weighted atomic Hardy space Hw p,q,s is given. As an application, the boundedness of Hilbert transform on the weighted Hardy space is proved.
