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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Compactification and decompactification by weights on Bergman spaces
, 2021 We characterize the symbols ϕ for which there exists a weight w such that the weighted composition operator M w C ϕ is compact on the weighted Bergman space B 2 α.
Rodriguez-Piazza, Luis +3 more
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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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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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Compactification, and beyond, of composition operators on Hardy spaces by weights [PDF]
, 2019 We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a compact operator, and when it can be in Schatten classes. The q-summing case in H p is considered.
Rodriguez-Piazza, Luis +3 more
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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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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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Prado-Bassas, Holomorphic operators generating dense images
, 2020 . The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is analyzed.
J A Prado-Bassas +2 more
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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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