α-Bloch空间到H∞的加权复合算子

The article not only presents the boundedness and compactness of the weighted composition operator fromα-Bloch spaces(or littleα-Bloch spaces) to H~∞,but also gives some estimates for the norm of the weighted composition operator.     

球上μ-Bloch空间的一种刻画(英文)

本文研究了单位球上μ-Bloch空间.利用径向导数和梯度的基本性质,我们获得了μ-Bloch空间的Holland-Walsh型刻画,推广了单位圆盘和单位球上的已有的一些结论.同时,得到了小μ-Bloch空间的相应特征.     

Characterizations of α-Bloch functions on the unit ball without use of derivative

In this paper we establish characterizations of α-Bloch functions on the unit ball without use of derivative, which are stronger, more precise and general than those obtained by Nowak and Zhao.     

SOME CHARACTERIZATIONS OF α-BLOCH SPACES ON THE UNIT BALL OF C~n

1IntroductionLetH(B)denotetheclassofall11olomorphicfunctionsintheunitballB.WesaythatfEB",ifWhenn=1,replacethembyH(D)alldB"(D).HaxdyandLittlewoodprovedthat([3,2]):B"(D)=Lip(1--or).WeknowthatLipscanbeusedtodescribethedualspaceofHardyspaceHP(D)for0相似文献   

α-Bloch Functions and Lipschitz Classes

In this paper, some classical estimates between the norms of α-Bloch spaces Bα and Lipschitz classes Lip1-α , 0 α 1, are improved.     

随机α-Bloch函数(英文)

本文给出了随机幂级数 fw(z) =∑∞n=0αneiwnzn(其中wn 是随机的 )属于α_Bloch空间和小α_Bloch空间的条件 ,推广了Anderson ,Clunie和Pommerenke的结果。     

ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF Cn

In this paper, the authors study the inclusion relations between Dirichlet type spaces DT and α-Bloch spacesβα 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 T = n, which proves that a conjecture in [7] is true.     

Weighted Composition Operators from α-Bloch Spaces to H^∞

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.     

ALGEBROIDAL FUNCTION AND ITS DERIVED FUNCTION IN UNIT CIRCULAR DISC

In this article,the authors define the derived function of an algeboidal function in the unit disc,prove it is an algabriodal function,and study the order of algebroidal function and that of its derived function in unit circular disc.     

A REMARK ON CERTAIN DIFFERENTIAL INEQUALITIES INVOLVING p-VALENT FUNCTIONS

In the present paper,we study certain differential inequalities involving p-valent functions and obtain sufficient conditions for uniformly p-valent starlikeness and uniformly p-valent convexity.We also offer a correct version of some known criteria for uniformly p-valent starlike and uniformly p-valent convex functions.     

Weighted Composition Followed and Proceeded by Differentiation Operators from Q_k(p,q)Space to Weighted α-Bloch Space

We study the boundedness and compactness of the weighted composition followed and proceeded by differentiation operators from Q_k(p,q)space to weighted α-Bloch space and little weighted α-Bloch space.Some necessary and sufficient conditions for the boundedness and compactness of these operators are given.     

A Note on Some Inequalities of $GG$-$E$-Convexity

In this paper, we define GG-E-convexity and GG-E-concavity. We also establish some inequalities in relation to GG-E-convex function using various integral inequalities with enough examples of various categories, which verifies our results.     

单位球上的α—Bloch函数的无导数特征

建立单位球上的α-Bloch函数的无导数特征,比M.Nowak和R.Zhao的结果更强、更精确、更一般.     

The Meromorphic Solutions of the Zakharov-Kuznetsov Modified Equal Width Equation

In this paper,we use the complex method to obtain all meromorphic solutions of the complex Zakharov-Kuznetsov modified equal width equation,then find the exact traveling wave solutions of the Zakharov-Kuznetsov modified equal width equation.At last,we give some computer simulations to illustrate our main results.     

多圆柱上μ-Bloch空间之间的点乘子

设μ和ν是[0,1]上的正规函数,刻画了C~n中以多圆柱D~n为支撑集的广义Bloch型空间β_μ到β_ν之间的点乘子.     

NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS SHARING A HOLOMORPHIC FUNCTION AND THE CONVERSE OF THE BLOCH PRINCIPLE

In this paper, we investigate normal families of meromorphic functions, prove some theorems of normal families sharing a holomorphic function, and give a counterexample to the converse of the Bloch principle based on the theorems.     

一个推广的Hilbert不等式及应用

This paper gives a new generalization of Hilbert's inequality with a best constant factor involving theβfunction. An applications, we consider the equivalent form and some particular results.     

多复变μ-Bloch空间上Gleason问题的可解性

设B和U~n分别表示C~n中单位球和多圆柱,并设μ是[0,1]上一个正规函数.对任意给定的b∈B,证明了Gleason问题(B,b,β_μ)是可解的,同时也证明了Gleason问题(U~n,0,β_μ)也是可解的.     

μ-Bloch空间上的积分算子

设g∈H(D),μ为权函数,φ,ψ是单位圆盘D到自身的解析映射,定义单位圆盘D上μ-Bloch空间B_μ上的积分算子J_(g,φ,ψ)和I_(g,φ,ψ)为(J_(g,φ,ψ)f)(z):=∫_0^z(fοφ)(ξ)(gοφ)′(ξ)dξ和(I_(g,φ,ψ)f)(z):=∫_0z(fοφ)(ξ)(gοφ)′(ξ)dξ和(I_(g,φ,ψ)f)(z):=∫_0^z(fοφ)′(ξ)(gοφ)(ξ)dξ.本文给出了该类积分算子在μ-Bloch空间上有界性和紧性的充要条件.     

关于Hardy-Hilbert积分不等式及其等价形式

In this paper, by introducing three parameters a, b and λ, we give some new generalizations of Hardy-Hilbert's integral inequality. As applications, we con-sider its equivalent form and some particular results.