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.     

从$Q_{k}(p,q)$空间到加权$\alpha-Bloch$空间的加权复合微分后置和前置算子

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.     

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.     

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.     

Bloch Constant on α-Bloch Mappings of the Unit Ball

This note is denoted to establishing sharp distortion theorems for subclasses of α-Bloch mappings defined in the unit ball of Cn with critical points.Furthermore,the estimates of Bloch constant with respect to these subclasses are given.     

单位球上α-Bloch映照的Bloch常数（英文）

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.     

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.     

Weighted Composition Followed and Proceeded by Differentiation Operators from Qκ(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 Qκ(p,q) space to weighted α-Bloch space and little weighted α-Bloch space.S...     

Composition Operators on α-Bloch Spaces of the Unit Ball

The authors characterize the boundedness and compactness of composition operators between α-Bloch spaces of the unit ball.     

ON DIRICHLET TYPE SPACES AND α-BLOCH SPACES IN THE UNIT BALL OF C^n

In this paper, the authors study the inclusion relations between Dirichlet type spaces DΥ 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.     

MBIUS INVARIANT GRADIENT AND LITTLE α-BLOCH FUNCTIONS

In this paper, the authors get the characterizations of the integral and Car-leson type measure both associated with the invariant gradient for little a-Bloch functions in the unit ball of Cn. As a consequence, some results of Ouyang C H, Yang W S and Zhao R H in [4] and a result of Yang W S in [10] are extended.     

多圆柱上Bloch型空间之间的等距复合算子

简单介绍了一些解析函数构成的Banach空间上的满等距的结果,然后刻画了多圆柱上α-Bloch空间复合算子的等距,并得到了复合算子等距的充要条件.     

On 2-Microlocal Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

In this paper, 2-microlocal Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced for the first time. Then, we give characterizations of these spaces by so-called Peetre's maximal functions. Further, the atomic and molecular decompositions of these spaces are obtained. Finally, using the characterizations of the spaces by local means and molecular decomposition we obtain the wavelet characterizations.     

C~n中单位球上一些全纯函数空间的刻画

本文讨论了多复变中混合赋范空间、Dirichlet型空间、Bloch型空间等全纯函数空间的一些等价刻画,获得了一系列充要条件.     

Commutators of maximal functions on spaces of homogeneous type and their weighted,local versions

We obtain the characterizations of commutators of several versions of maximal functions on spaces of homogeneous type. In addition, with the aid of interpolation theory, we provide weighted version of the commutator theorems by establishing new characterizations of the weighted BMO space. Finally, a concrete example shows that the local version of commutators also has an independent interest.     

Uniform Approximation of Entire Functions of Slow Growth on Compact Sets

In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth are obtained in terms of approximation and interpolation errors.     

一维Markov过程的Nash不等式

本文得到了生灭过程和一维扩散过程满足Nash不等式的判别准则,并证明 了对此二类过程,非常返性蕴含相应半群如下收敛速度||P(t)||1→∞≤Ct-1.同时也给 出一般马氏链满足Nash不等式的充分条件.     

Some Remarks on Borel Type Ideals

We give new equivalent characterizations for ideals of Borel type. Also, we prove that the regularity of a product of ideals of Borel type is bounded by the sum of the regularities of those ideals.     

Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces

Recently, Schatten-Herz type Toeplitz operators have been studied on the Bergman spaces and the harmonic Bergman spaces. Motivated these results, we study characterizations of positive Toeplitz operators of Schatten-Herz type in terms of averaging functions and Berezin transforms of symbol functions on the ball of pluriharmonic Bergman spaces.