Results 1 to 10 of about 5,186,022 (184)
Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surfaces [PDF]
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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Function spaces related to the Dirichlet space [PDF]
Journal of the London Mathematical Society, 2008 We introduce two spaces of holomorphic functions on the disk that play a role in the Dirichlet space theory similar to the roles of H1 and BMO in the classical Hardy space theory.
N. Arcozzi +3 more
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Some Hilbert spaces related with the Dirichlet space [PDF]
Concrete Operators, 2016 We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
Arcozzi Nicola +4 more
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Fredholm Weighted Composition Operators on Dirichlet Space
International Journal of Mathematics and Mathematical Sciences, 2012 This paper characterizes bounded Fredholm, bounded invertible, and unitary weighted composition operators on Dirichlet space.
Liankuo Zhao
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Bilinear forms on the Dirichlet space [PDF]
Analysis & PDE, 2008 Let $\mathcal{D}$ be the classical Dirichlet space, the Hilbert space of holomorphic functions on the disk. Given a holomorphic symbol function $b$ we define the associated Hankel type bilinear form, initially for polynomials f and g, by $T_{b}(f,g):= _{\
N. Arcozzi +3 more
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Abstract and Applied Analysis, 2010 Operator norm and essential norm of an integral-type operator, recently introduced by this author, from the Dirichlet space to the Bloch-type space on the unit ball in ℂ𝑛 are calculated here.
Stevo Stević
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Cyclic vectors in the Dirichlet space [PDF]
Transactions of the American Mathematical Society, 1984 We study the Hilbert space of analytic functions with finite Dirichlet integral in the open unit disc. We try to identify the functions whose polynomial multiples are dense in this space. Theorems 1 and 2 confirm a special case of the following conjecture: if | f ( z ) |
Leon Brown, A. Shields
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Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator [PDF]
AUT Journal of Mathematics and Computing, 2023 Let $\mathbb{B}_n$ be the open unit ball in $\mathbb{C}^n$ and $\mathbb{B}_n^2 = \mathbb{B}_n \times \mathbb{B}_n$. The symmetric lifting operator which lifts analytic functions from $H(\mathbb{B}_n)$ to $H(\mathbb{B}_n^2)$ is defined as follow\[L(f)(z,w)
Mostafa Hassanlou, Ebrahim Abbasi
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Operators Induced by Radial Measures Acting on the Dirichlet Space
Results in Mathematics, 2023 Let $${\mathbb {D}}$$ D be the unit disc in the complex plane. Given a positive finite Borel measure $$\mu $$ μ on the radius [0, 1), we let $$\mu _n$$ μ n denote the n -th moment of $$\mu $$ μ and we deal with the action on spaces of analytic functions ...
P. Galanopoulos +3 more
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Coefficient multipliers on spaces of vector-valued entire Dirichlet series [PDF]
Mathematica Bohemica, 2017 The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties ...
Sharma Akanksha, Girja S. Srivastava
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