Results 1 to 10 of about 5,330 (177)

Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces

Complex Manifolds, 2017
This paper gives a full characterization of the reducing subspaces for the multiplication operator Mϕ on the Dirichlet space with symbol of finite Blaschke product ϕ of order 5I 6I 7.
Gu Caixing, Luo Shuaibing, Xiao Jie
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On Similarity and Reducing Subspaces of the n-Shift plus Certain Weighted Volterra Operator

Journal of Function Spaces, 2017
Let g(z) be an n-degree polynomial (n≥2). Inspired by Sarason’s result, we introduce the operator T1 defined by the multiplication operator Mg plus the weighted Volterra operator Vg on the Bergman space.
Yucheng Li, Hao Chen, Wenhua Lan
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Bergman projections on weighted Fock spaces in several complex variables

Journal of Inequalities and Applications, 2017
Let ϕ be a real-valued plurisubharmonic function on C n ${\mathbb {C}}^{n}$ whose complex Hessian has uniformly comparable eigenvalues, and let F p ( ϕ ) $\mathcal{F}^{p}(\phi)$ be the Fock space induced by ϕ.
Xiaofen Lv
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Hyponormality on a Weighted Bergman Space

Journal of Function Spaces, 2020
A bounded Hilbert space operator T is hyponormal if T∗T−TT∗ is a positive operator. We consider the hyponormality of Toeplitz operators on a weighted Bergman space.
Houcine Sadraoui, Borhen Halouani, Mubariz T. Garayev, Adel AlShehri   +3 more
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Composition Operator on Bergman-Orlicz Space

Journal of Inequalities and Applications, 2009
Let denote the open unit disk in the complex plane and let denote the normalized area measure on . For and a twice differentiable, nonconstant, nondecreasing, nonnegative, and convex function on , the Bergman-Orlicz space is defined as ...
Jiang Zhijie, Cao Guangfu
doaj   +2 more sources

Product-type operators from weighted Bergman spaces to Bloch-Orlicz spaces

四川大学学报. 自然科学版, 2020
By constructing some suitable test functions in weighted Bergman space, the boundedness and compactness of the product-type operators from the weighted Bergman space to the Bloch-Orlicz space are characterized in terms of the symbol functions in this ...
Chen Zhi, Jiang Zhi-Jie
doaj  

On complex symmetry of composition operators on Bergman space

四川大学学报. 自然科学版, 2020
In this paper, we discuss about the necessary and sufficient conditions for the composition operators on the Bergman space, meanwhile give complex symmetric composition operators on Bergman space whose symbols are linear-fractional but not automorphic.
Hong Jun-Ying, Han Xue-Hong
doaj  

The Zero Product of Toeplitz Operators on the 2-Analytic Weighted Bergman Space

Journal of Function Spaces
Two-analytic weighted Bergman space is a nonanalytic function space which is closely related to analytic functions. In this paper, we mainly discuss the zero product problem for Toeplitz operators on the 2-analytic weighted Bergman space.
Xia Wang, Yanyue Shi, Bo Zhang, Changguo Wei   +3 more
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On the best mean-square approximation of analytic functions in the Bergman space B₂

Современная математика: Фундаментальные направления
In a Bergman Hilbert space, we study the problem of estimating the best approximation of an analytic function in the unit disk by algebraic polynomials via averaging its modulus of smoothness.
M. R. Langarshoev
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Finite-rank intermediate Hankel operators on the Bergman space

International Journal of Mathematics and Mathematical Sciences, 2001
Let L2=L2(D,r dr dθ/π) be the Lebesgue space on the open unit disc and let La2=L2∩ℋol(D) be the Bergman space. Let P be the orthogonal projection of L2 onto La2 and let Q be the orthogonal projection onto L¯a,02={g∈L2;g¯∈La2,   g(0)=0}. Then I−P≥Q.
Takahiko Nakazi, Tomoko Osawa
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