Results 41 to 50 of about 558 (86)

On the closed range problem for composition operators on the Dirichlet space

open access: yesConcrete 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
doaj   +1 more source

Local spectral theory of endomorphisms of the disk algebra

open access: yesDemonstratio 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
doaj   +1 more source

Weakly compact composition operators on spaces of Lipschitz functions [PDF]

open access: yes, 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  

Norms of hyponormal weighted composition operators on the Hardy and weighted Bergman spaces

open access: yes, 2018
In this paper, first we find norms of hyponormal weighted composition operators Cψ,φ , when φ has a Denjoy-Wolff point on the unit circle. Then for φ which is analytic selfmap of D with a fixed point in D , we investigate norms of hyponormal weighted ...
M. Fatehi, M. Shaabani
semanticscholar   +1 more source

Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions [PDF]

open access: yes, 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  

On the range of composition operators on spaces of entire functions

open access: yes, 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
core   +1 more source

Weighted composition operator on two-dimensional Lorentz spaces

open access: yes, 2017
The boundedness, compactness, closed range and invertibility of the weighted composition operator on two-dimensional Lorentz spaces are characterized. Mathematics subject classification (2010): Primary 47B33, 47B38, Secondary 46E30.
R. Castillo, H. Chaparro
semanticscholar   +1 more source

Weighted differentiation composition operators from weighted bergman space to nth weighted space on the unit disk

open access: yesJournal 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]

open access: yes, 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

open access: yes, 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

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