In this paper some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coef...In this paper some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coefficients of the functions in Bers-Orlicz spaces are given.展开更多
Let S(p)be the class of all univalent meromorphic functions f on the unit disk D with a simple pole at p∈(0,1).Forα∈[0,1),we denote byΣ^(*)(p,ω_(0),α)the class of f∈E S(p)such that C\f(D)is a starlike domain of...Let S(p)be the class of all univalent meromorphic functions f on the unit disk D with a simple pole at p∈(0,1).Forα∈[0,1),we denote byΣ^(*)(p,ω_(0),α)the class of f∈E S(p)such that C\f(D)is a starlike domain of orderαwith respect to fixed pointω_(0)≠0,∞.In this paper,some analytic characterizations and coefficient estimates of f∈∑^(*)(p,ω_(0),α)are considered.展开更多
In this paper,the authors give a characterization of finite Blaschke products with degree n.The main results are:(1)An n-dimensional complex vector can be the first n Taylor coefficients of a finite Blaschke product w...In this paper,the authors give a characterization of finite Blaschke products with degree n.The main results are:(1)An n-dimensional complex vector can be the first n Taylor coefficients of a finite Blaschke product with degree no more than n-1 if and only if the vector induces a lower triangular Toeplitz matrix with norm 1;(2)an n-dimensional complex vector can be the first n Taylor coefficients of an inner function if and only if the vector induces a lower triangular Toeplitz matrix with norm no more than 1.M¨obius transformations acting on contraction matrices play an important role in the proofs.展开更多
A Fejer Riesz inequality for the weighted Besov spaces Bp,q is given. Some characteriza- tions of functions in Bp.q in terms of their Taylor coefficients are obtained.
文摘In this paper some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coefficients of the functions in Bers-Orlicz spaces are given.
基金Supported by the National Natural Science Foundation of China(Grant No.11871215)。
文摘Let S(p)be the class of all univalent meromorphic functions f on the unit disk D with a simple pole at p∈(0,1).Forα∈[0,1),we denote byΣ^(*)(p,ω_(0),α)the class of f∈E S(p)such that C\f(D)is a starlike domain of orderαwith respect to fixed pointω_(0)≠0,∞.In this paper,some analytic characterizations and coefficient estimates of f∈∑^(*)(p,ω_(0),α)are considered.
文摘In this paper,the authors give a characterization of finite Blaschke products with degree n.The main results are:(1)An n-dimensional complex vector can be the first n Taylor coefficients of a finite Blaschke product with degree no more than n-1 if and only if the vector induces a lower triangular Toeplitz matrix with norm 1;(2)an n-dimensional complex vector can be the first n Taylor coefficients of an inner function if and only if the vector induces a lower triangular Toeplitz matrix with norm no more than 1.M¨obius transformations acting on contraction matrices play an important role in the proofs.
文摘A Fejer Riesz inequality for the weighted Besov spaces Bp,q is given. Some characteriza- tions of functions in Bp.q in terms of their Taylor coefficients are obtained.
