F(p,q,s)空间到Bloch型空间的广义积分算子的差分

设g,φ∈H(D),φ(D)D,n是正整数,定义广义积分算子为I_(g,φ)~((n))f(z)=∫_0~zf~((n))(φ(ζ))g(ζ)dζ.本文给出了F(p,q,s)空间到Bloch型空间的广义积分算子的差分的有界性和紧性的充要条件.     

Zygmund 空间到 Bloch 空间上径向导数算子与积分型算子的乘积

设$H(\mathbb{B})$为单位球上全纯函数类,研究了单位球上 Zygmund 空间到 Bloch 空间上径向导数算子$\Re$与积分型算子$I_\varphi^g$乘积的有界性和紧性, 这里 $$ I_\varphi^g f(z)=\int_0^1 \Re f(\varphi(tz))g(tz)\frac{{\rm d}t}{t},\quad z\in\mathbb{B}, $$ 其中$g\in H(\mathbb{B}),\ g(0)=0$, $\varphi$ 是$\mathbb{B}$上全纯自映射.     

从混合模空间到 Bloch -型空间微分算子与乘子的积

设H(D) 表示单位圆盘D上的解析函数空间,u ∈ H(D). 该文研究了从混合模空间到Bloch -型空间微分算子与乘子的积DM_u 的有界性与紧性.     

EXTENDED CESARO OPERATORS ON THE BLOCH SPACE IN THE UNIT BALL OF C^n

The paper defines an extended Ceshro operator Tg with holomorphic symbol g in the unit ball B of C^n as Tg(f)(z) =∫^10f(tz)Rg(tz)dt/t, f∈H(B),z ∈ B. Where Rg(z) =∑^nj=1 zjθg/θzj is the radial derivative of g. In this paper, the author charac-terizes g for which Tg is bounded (or compact) on the Bloch space B and the little Bloch space B0.     

Bloch型空间上的广义Volterra型算子的有界性

通过研究Bloch型空间Bα的一些性质,给出了广义复合算子Tφ,g在Bloch型空间Bα(0<α<∞)上有界的充要条件.     

Bloch 型空间的一个刻画（英文）

本文研究了Bloch型空间中函数性质问题.利用拟双曲度量及一些不等式得到了Bloch型空间B~α(B_n)(0α≤1)的一个新的刻画,该刻画将Bloch型空间B~α(B_n)的Holland-Walsh刻画推广到一个高阶形式.     

从混合模空间到Bloch型空间的积分算子

假设n是正整数,g∈H(D)及φ是D上的解析自映射.本文主要研究了从混合模空间到Bloch型空间积分算子C_(φ,g)~n的有界性和紧性,其中积分算子C_(φ,g)~n定义为:(cnφ,gf)(z)=∫(n)(φ(§))g(§)d§,z∈D,f∈H(D)     

F(p,q,s)到B_μ广义复合算子的差分

令B为N维复空间C~N的开单位球,φ是B上的解析自映射,g是B上的解析函数,且g(0)=0,则广义复合算子定义为C_φ~g(f)(z)=∫_0~1Rf(φ(tz))g(tz)(dt)/t.本文主要研究单位球上从F(p,q,s)空间到加权Bloch空间B_μ的广义复合算子的差分有界性与紧致性.     

对数Bloch空间上积型算子的有界性

让H(D)表示复平面C里的单位圆盘D上的所有解析函数的全体,ψ_1,ψ_2∈H(D),而φ是D到D的解析自映射.本文刻画了对数Bloch空间上积型算子T_(ψ_1,ψ2,φ)的有界性.     

小Bloch型空间上的加权复合算子

本文将刻划从小Bloch型空间β0p到β0q(0＜p,q＜∞)上加权复合算子Tψ,ψ的有界性和紧性.同时得到了Tψ,ψ是Bloch型空间βp到βq(p＞1,0≤q≤1)有界算子的充要条件以及Tψ,ψ是Bloch型空间βp到βq(0≤p,q＜∞)紧算子的充要条件.     

多圆柱上不同Bloch型空间之间的加权复合算子

本文研究了多复变数单位多圆柱上不同的p-Bloch空间,小p-Bloch空间和小p-Bloch*空间 (0相似文献   

单位球上加权 Bergman-Nevanlinna空间到 Blo ch-型空间上乘法,复合,微分算子的乘积

文章用径向导数定义了 H(B)空间上的微分算子,从而研究了单位球上加权Bergman-Nevanlinna 空间到 Bloch-型空间上乘法,复合,微分算子的乘积,给出了这类乘积有界和紧的充要条件。     

Generalized Composition Operators Between Mixed-Norm and Some Weighted Spaces

The boundedness and compactness of the generalized composition operator from mixed-norm spaces to the Bloch-type space, the little Bloch-type space, the Zygmund space, and the little Zygmund space are investigated in this paper.     

Difference of generalized integration operators on the space of Cauchy transforms

In this paper, the boundedness and compactness of the differences of generalized integration operators from the space of Cauchy integral transforms to the Bloch-type spaces and the weighted Dirichlet spaces are investigated.     

On an integral-type operator between weighted-type spaces and Bloch-type spaces on the unit ball

The boundedness and compactness of an integral-type operator, which has been recently introduced by the first author, between weighted-type spaces and Bloch-type spaces on the unit ball are studied here.     

Difference of composition operators from the space of Cauchy integral transforms to Bloch-type spaces

In this paper, we characterize boundedness and compactness of difference of composition operators from the space of Cauchy integral transforms to Bloch-type spaces. Our characterizations are free from pseudo-hyperbolic metric, which is a common feature of all the characterizations of difference of composition operators acting between different spaces of holomorphic functions. Exact value of operator norm of difference of composition operators acting between these spaces is also computed.     

Difference of Differentiation Composition Operators on the Fractional Cauchy Transforms Spaces

Abstract

In this paper, we consider the boundedness and compactness of the differences of differentiation composition operators from the space of fractional Cauchy transforms to the Bloch-type spaces and the weighted Dirichlet spaces. Surprisingly, these characterizations are free from pseudo-hyperbolic metric, which is a common feature of all the preceding characterizations of difference of differentiation composition operators on various spaces of holomorphic functions.     

Products of integral-type operators and composition operators between Bloch-type spaces

A complete picture on the boundedness and compactness of the products of integral-type operators and composition operators between Bloch-type spaces of holomorphic functions on the unit disk is given in this paper.     

Bloch型空间上一个积分算子的有界性

本文研究了单位圆盘$\mathbb{D}$上的一个积分算子,定义如下$Kf(z)=\int_{\mathbb{D}}\frac{f(w)}{1-z\bar{w}}{\rm d}A(w)$, 该算子可以看作经典Bergman投影的姐妹算子,同时我们得到了该算子关于Bloch型空间, $H^{\infty}$空间以及$L^{p}$空间之间有界的充分必要条件.     

Characterizations of composition followed by differentiation between Bloch-type spaces

Some results on the boundedness and compactness of composition followed by differentiation between Bloch-type spaces are refined in this paper.