Results 21 to 30 of about 441 (45)
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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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.
core
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
core
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
doaj
Common hypercyclic functions for multiples of convolution and non-convolution operators [PDF]
, 2009 We prove the existence of a residual set of entire functions, all of whose members are hypercyclic for every nonzero scalar multiple of T, where T is the differential operator associated to an entire function of order less than 1/2. The same result holds
Bernal González, Luis
core
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
core +1 more source
Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk [PDF]
, 2015 We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball $B\_d$ and the polydisk $D^d$
Li, Daniel +2 more
core +2 more sources