The article not only presents the boundedness and compactness of the weighted composition operator from α-Bloch spaces（or little α-Bloch spaces） to H^∞, but also gives some estimates for the norm of the weighted ...The article not only presents the boundedness and compactness of the weighted composition operator from α-Bloch spaces（or little α-Bloch spaces） to H^∞, but also gives some estimates for the norm of the weighted composition operator.展开更多
In this paper,we get the invariant gradient characterizations and β-Carleson measure characterization of α-Bloch functions.Two examples are also given to show that the condition about α is the best.
In this paper, the authors study the inclusion relations between Dirichlet type spaces DΥT and α-Bloch spaces βα by means of higher radial derivative. The strictness and the best possibility of the inclusion relat...In this paper, the authors study the inclusion relations between Dirichlet type spaces DΥT and α-Bloch spaces βα by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods. Furthermore, they sharpen one of the results when Υ=n, which proves that a conjecture in [7] is true.展开更多
This note is denoted to establishing sharp distortion theorems for subclasses of α-Bloch mappings defined in the unit ball of C^n with critical points. Furthermore, the estimates of Bloch constant with respect to the...This note is denoted to establishing sharp distortion theorems for subclasses of α-Bloch mappings defined in the unit ball of C^n with critical points. Furthermore, the estimates of Bloch constant with respect to these subclasses are given.展开更多
基金the National Natural Science Foundation of China(10471039)the Natural Science Foundation of Zhejiang Province(Y606197)the Natural Science Foundation of Huzhou City(2005YZ02)
文摘The article not only presents the boundedness and compactness of the weighted composition operator from α-Bloch spaces（or little α-Bloch spaces） to H^∞, but also gives some estimates for the norm of the weighted composition operator.
文摘In this paper,we get the invariant gradient characterizations and β-Carleson measure characterization of α-Bloch functions.Two examples are also given to show that the condition about α is the best.
基金The research is supported by NNSF of China (10271117)
文摘In this paper, the authors study the inclusion relations between Dirichlet type spaces DΥT and α-Bloch spaces βα by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods. Furthermore, they sharpen one of the results when Υ=n, which proves that a conjecture in [7] is true.
基金Supported by the National Natural Science Foundation of China(11471111,11571105,11671362)Supported by the Natural Science Foundation of Zhejiang Province(LY16A010004)
文摘This note is denoted to establishing sharp distortion theorems for subclasses of α-Bloch mappings defined in the unit ball of C^n with critical points. Furthermore, the estimates of Bloch constant with respect to these subclasses are given.
