Approximation and entropy numbers of composition operators
Concrete Operators, 2020 We give a survey on approximation numbers of composition operators on the Hardy space, on the disk and on the polydisk, and add corresponding new results on their entropy numbers, revealing how they are different.
Li Daniel +2 more
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Hardy spaces of generalized analytic functions and composition operators
Concrete Operators, 2018 We present some recent results on Hardy spaces of generalized analytic functions on D specifying their link with the analytic Hardy spaces. Their definition can be extended to more general domains Ω . We discuss the way to extend such definitions to more
Pozzi Elodie
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On the closed range problem for composition operators on the Dirichlet space
Concrete Operators, 2019 We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a result about Fredholm Toeplitz operators with BMO1 symbols, and with Berezin transforms of vanishing
Zorboska Nina
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Local spectral theory of endomorphisms of the disk algebra
Demonstratio Mathematica, 2016 Let A(𝔻) denote the disk algebra. Every endomorphism of A(𝔻) is induced by some ϕ ∈ A(𝔻) with ‖ϕ‖ ≤ 1. In this paper, it is shown that if ϕ is not an automorphism of 𝔻 and ϕ has a fixed point in the open unit disk then the endomorphism induced by ϕ is ...
Trivedi Shailesh, Chandra Harish
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Essential Norms of Weighted Composition Operators on L^1 Müntz Spaces [PDF]
, 2014 This paper discusses the problem of boundedness and compactness for weighted composition operators defined on a Müntz subspace of L^1([0,1]). We compute the essential norm of such operators when the symbol ϕ of the composition operator satisfies a ...
Al Alam, Ihab, Lefèvre, Pascal
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On generalized weighted composition operators acting between Fock-type spaces
, 2022 In this paper, we study essential norm and Schatten class membership of the generalized weighted composition operators acting on Fock-type spaces.
Worku, Mafuz
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Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions [PDF]
, 2011 2010 Mathematics Subject Classification: 47B33, 47B38.Let f be an analytic self-map of the open unit disk D in the complex plane and y be an analytic map on D.
Wolf, Elke
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Sparse domination principle for a class of multilinear operators on spaces of homogeneous type
Open MathematicsOn spaces of homogeneous type, we obtain the pointwise sparse domination principle for a class of multilinear operators. As a result, we can conclude that if T is an m-linear ω-Calderón-Zygmund operator with ω ∈ Dini, then it admits the pointwise sparse ...
Liu Dongli
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Study of weighted elliptic composition operators on the unit ball of ℂN
Concrete OperatorsWe study the general properties, point spectrum and spectrum of a weighted composition operator Wm,φ{W}_{m,\varphi } with elliptic symbol φ\varphi on the unit ball BN{{\mathbb{B}}}_{N} of CN{{\mathbb{C}}}^{N}, and general weight m∈Hol(BN)m\in {\rm{Hol}}\
Oger Lucas
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H(b) spaces of non-extreme b over finitely connected planar domains
Concrete OperatorsIn this work, density of the algebra A(D) $\mathcal{A}\left(D\right)$ in H(b) spaces of finitely connected planar domains and the boundedness of composition operators on these function spaces are studied.
Şahin Sibel
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