Some revisited results about composition operators on Hardy spaces. [PDF]
We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces H : construction of a "slow" Blaschke product giving a non-compact composition operator on H ; construction of a surjective ...
P. Lefèvre +3 more
semanticscholar +1 more source
A hyperbolic universal operator commuting with a compact operator [PDF]
A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces.
Cowen, Carl C. +1 more
core +1 more source
Extension of Zhu′s solution to Lotto′s conjecture on the weighted Bergman spaces
We reformulate Lotto′s conjecture on the weighted Bergman space Aα2 setting and extend Zhu′s solution (on the Hardy space H2) to the space Aα2.
Abebaw Tadesse
wiley +1 more source
Cyclic Composition operators on Segal-Bargmann space
We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½ ...
Ramesh G. +2 more
doaj +1 more source
Block Toeplitz operators with frequency‐modulated semi‐almost periodic symbols
This paper is concerned with the influence of frequency modulation on the semi‐Fredholm properties of Toeplitz operators with oscillating matrix symbols. The main results give conditions on an orientation‐preserving homeomorphism α of the real line that ensure the following: if b belongs to a certain class of oscillating matrix functions (periodic ...
A. Böttcher, S. Grudsky, I. Spitkovsky
wiley +1 more source
Essential norm of weighted composition operators on Zygmund-type spaces with normal weight
In this paper, we investigate the boundedness, compactness and essential norm of weighted composition operators between Zygmund-type spaces with normal weight. Mathematics subject classification (2010): 47B33, 30H10.
Juntao Du, Songxiao Li, Yan ua Zhang
semanticscholar +1 more source
Essential norm of weighted composition operators between Bloch-type spaces in the open unit ball
In this paper, we give an estimation for the essential norm of weighted composition operators between Bloch-type spaces in the open unit ball of Cn . Mathematics subject classification (2010): 47B33, 30H30.
Juntao Du, Xiangling Zhu
semanticscholar +1 more source
Geometric properties of composition operators belonging to Schatten classes
We investigate the connection between the geometry of the image domain of an analytic function mapping the unit disk into itself and the membership of the composition operator induced by this function in the Schatten classes. The purpose is to provide solutions to Lotto′s conjectures and show a new compact composition operator which is not in any of ...
Yongsheng Zhu
wiley +1 more source
Weighted composition operators from weighted Bergman spaces to Stević-type spaces
The boundedness, compactness and essential norm of weighted composition operators from weighted Bergman spaces with a double weight to Stević-type spaces on the unit disk are investigated in this paper.
Xiangling Zhu, Juntao Du
semanticscholar +1 more source
Hermitian composition operators on Hardy-Smirnov spaces
Let Ω be an open simply connected proper subset of the complex plane and φ an analytic self map of Ω. If f is in the Hardy-Smirnov space defined on Ω, then the operator that takes f to f º φ is a composition operator.
Gunatillake Gajath
doaj +1 more source

