解析函数空间上的自伴加权复合算子

通过再生核函数刻画了Hardy空间,Bergman空间上自伴加权复合算子以及自伴等距加权复合算子,最后研究了单位球上的分式线性自同构,得到了一个充分条件。     

单位球上加权Bergman空间上加权复合算子的本性范数

本文给出了单位球上加权Bergman空间上的加权复合算子的本性范数,并刻画了这类加权复合算子的有界性和紧性.     

从上半平面Hardy空间到增长型空间和Bloch空间上的加权复合算子的有界性

研究了从上半平面的Hardy空间到增长型空间和Bloch空间上的加权复合算子有界性的充要条件,给出了上半平面增长型空间上的加权复合算子有界性的充要条件,利用上半平面增长型空间和圆盘增长型空间之间的同构,获得了圆盘增长型空间上的加权复合算子有界性的充要条件.     

加权Dirichlet空间上加权复合算子的Fredholm性

本文给出了加权Dirichlet空间D_β上有界Fredholm加权复合算子的刻画,作为推论分别给出了D_β上加权复合算子是有界可逆的和酉算子的刻画.     

HardyOrlicz空间之间的加权复合算

该文研究了复平面中单位圆盘上不同Hardy-Orlicz空间之间的加权复合算子,利用Carleson测度不等式给出了有界或紧的加权复合算子ωC_φ:N_p→N_q的特征. 作为推论得到了加权复合算子ωC_φ:N_p→N_q有界(或紧)的充分必要条件是ωC_φ:H_p→H_q是有界(或紧)的. 此外,还给出了Hardy-Orlicz空间上可逆及Fredholm复合算子的特征.     

加权Bergman空间上的Schatten类复合算子

本文利用Carleson测度给出了加权Bergman空间上的复合算子为Schattenp-类算子的充要条件,加权Bergman空间上的复合算子Cφ∈Sp当且仅当对任何r＞0,其中     

Dirichlet型空间上的紧加权复合算子的谱

该文研究了单位多圆柱情形Dirichlet型空间上的加权复合算子的谱.对一类紧加权复合算子,给出了其谱的完全刻画,推广了已有结果.     

CN上Fock空间上的有限余维加权复合算子(英文)

本文给出了C^N上Fock空间上有限余维加权复合算子的完全刻画,该刻画与Fock空间上循环向量的刻画密切相关.主要结论表明,Fock空间上一个有界加权复合算子是有限余维的当且仅当其复合符号是1次可逆解析多项式,且当N=1时,其加权符号至多有有限个零点;当N≥2时,其加权符号没有零点.     

关于复平面上H~∞空间,β~p空间以及β_0~p空间的几个问题

本文讨论了单位圆中Hardy空间H∞到p-Bloch空间βP的复合算子T1.φ加权复合算子Tψ,(?)的有界性,也讨论了H∞到小p-Bloch空间β6的复合算子T1,(?)的有界性问题;另外还讨论了小p-Bloch空间到H∞空间的点乘子及小p-Bloch空间上复合算子的紧性等.     

关于复平面上H∞空间,βp空间以及βp0空间的几个问题

本文讨论了单位圆中Hardy空间H∞到p-Bloch空间βp的复合算子T1,φ和加权复合算子Tψ,ψ的有界性,也讨论了H∞到小p-Bloch空间ββ的复合算子T1,ψ的有界性问题;另外还讨论了小p-Bloch空间到H∞空间的点乘子及小p-Bloch空间上复合算子的紧性等.     

WEIGHTED COMPOSITION OPERATORS BETWEEN BERS-TYPE SPACES AND BERGMAN SPACES

This paper characterizes the boundedness and compactness of weighted composition operators between Bers-type space （or little Bers-type space） and Bergman space. Some estimates for the norm of weighted composition operators between those spaces are obtained.     

A note on weighted composition operators on the weighted Bergman space

This paper gives a note on weighted composition operators on the weighted Bergman space, which shows that for a fixed composition symbol, the weighted composition operators are bounded on the weighted Bergman space only with bounded weighted symbols if and only if the composition symbol is a finite Blaschke product.     

Bergman型空间到Bers型空间之加权复合算子

讨论了Bergman型空间H(p,μ)到Bers型空间H_β~∞、小Bers型空间H_(β,0)~∞上的加权复合算子,给出了加权复合算子有界性、紧性、弱紧性的充要条件,以及紧复合算子的角导数准则.本文还讨论了具有闭值域的加权复合算子,得到了一个充分条件.     

Spectrum of Normal Weighted Composition Operators on the Fock Space Over ℂN

By using commutative C^*-algebra techniques, spectrum and essential spectrum of normal weighted composition operators on the Fock space over C^N are completely characterized. As an application, spectrum of self-adjoint weighted composition operators on the Fock space are obtained also.     

Fock空间上的一类加权复合算子

This paper studies a class of weighted composition operators and their spectrum on the Fock space.As an application,bounded self-adjoint,a class of complex symmetric weighted composition operators on the Fock space are characterized.     

空间上加权复合算子的Fredholm性

This paper characterizes bounded, Fredholm weighted composition operators on Hardy space. As an application, the Fredholm index of such operators is obtained.     

Essential norms of weighted composition operators from weighted Bergman space to mixed-norm space on the unit ball

In this paper, we characterize the boundedness and compactness of the weighted composition operators from the weighted Bergman space to the standard mixed-norm space or the mixed-norm space with normal weight on the unit ball and estimate the essential norms of the weighted composition operators.     

A_α~2上复合算子的Hilbert-Schmidt差分

本文设A_α~2为定义在n维复空间单位多圆柱上的加权Bergman空间,L为Bergman空间上有界复合算子的全体并赋予算子范数拓扑,应用复合算子的HilbertSchmidt差分研究L的拓扑连通性.     

Aluthge transforms of unbounded weighted composition operators in L2-spaces

We describe the Aluthge transform of an unbounded weighted composition operator acting in an L²-space. We show that its closure is also a weighted composition operator with the same symbol and a modified weight function. We investigate its dense definiteness. We characterize p-hyponormality of unbounded weighted composition operators and provide results on how it is affected by the Aluthge transformation. We show that the only fixed points of the Aluthge transformation on weighted composition operators are quasinormal ones.     

A class of normal weighted composition operators on the Fock space of ℂ n

This paper characterizes a class of normal weighted composition operators and their spectrum on the Fock space of Cⁿ.