Results 21 to 30 of about 448 (45)
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 range of composition operators on spaces of entire functions
, 2011 The celebrated Paley-Wiener theorem naturally identifies the spaces of bandlimited functions with subspaces of entire functions of exponential type. Recently, it has been shown that these spaces remain invariant only under composition with affine maps ...
Jafari, F. +2 more
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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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A Gleason-Kahane-\.Zelazko theorem for the Dirichlet space
, 2018 We show that every linear functional on the Dirichlet space that is non-zero on nowhere-vanishing functions is necessarily a multiple of a point evaluation. Continuity of the functional is not assumed.
Mashreghi, Javad +2 more
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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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Weakly compact composition operators on spaces of Lipschitz functions [PDF]
, 2014 Let $X$ be a pointed compact metric space. Assuming that $\mathrm{lip}_0(X)$ has the uniform separation property, we prove that every weakly compact composition operator on spaces of Lipschitz functions $\mathrm{Lip}_0(X)$ and $\mathrm{lip}_0(X)$ is ...
Jiménez-Vargas, A.
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, 2017 In this paper we prove an invertibility criterion for certain operators which is given as a linear algebraic combination of Toeplitz operators and Fourier multipliers acting on the Hardy space of the unit disc.
Gül, Uğur, Koca, Beyaz Başak
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Journal of Inequalities and Applications, 2011 This paper characterizes the boundedness and compactness of the weighted differentiation composition operator from weighted Bergman space to nth weighted space on the unit disk of ≤.
Zhang Liang, Zeng Hong-Gang
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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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Distances between composition operators [PDF]
, 2007 The norm distance between two composition operators is calculated in select ...
Matache, Valentin
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