22 citations · 109 across the 21 of their papers we have counts for
24 papers
Fixed points of the Berezin transform on Fock-type spaces
Ghazaleh Asghari, Zeljko Cuckovic, Sonmez Sahutoglu
We study the fixed points of the Berezin transform on the Fock-type spaces with the weight It is known that the Berezin transform is well-defined on th…
Pointwise lower bounds in growth spaces with little o conditions
Zeljko Cuckovic, Jari Taskinen
Pointwise lower bounds on the open unit disc $\bbD$ for the sum of the moduli of two analytic functions and (or their derivatives) are known in several cases, like be…
Compactness of composition operators on the Bergman space of the bidisc
Timothy G. Clos, Zeljko Cuckovic, Sonmez Sahutoglu
Let be a holomorphic self map of the bidisc that is Lipschitz on the closure. We show that the composition operator is compact on the Bergman space if and only if $φ(\ove…
A geometric condition for the invertibility of Toeplitz operators on the Bergman space
Zeljko Cuckovic, Jari Taskinen
Invertibility of Toeplitz operators on the Bergman space and the related Douglas problem are long standing open problems. In this paper we study the invertibility problem under the…
On spectra of Hankel operators on the polydisc
Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu
We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also c…
Projected composition operators on pseudoconvex domains
Zeljko Cuckovic
Let be a smooth bounded pseudoconvex domain and denote its Bergman space. Let be the Bergman projection. For a me…
Zero products of Toeplitz operators on Reinhardt domains
Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu
Let be a bounded Reinhardt domain in and be finite sums of bounded quasi-homogeneous functions. We show that if the product of Toeplitz operator…
Berezin regularity of domains in C^n and the essential norms of Toeplitz operators
Zeljko Cuckovic, Sonmez Sahutoglu
For the open unit disc in the complex plane, it is well known that if then its Berezin transform also belongs to $C(\over…
Determinantal hypersurfaces and representations of Coxeter groups
Zeljko Cuckovic, Michael Stessin, Alexandre Tchernev
Given a finite generating set of a group , and a representation of on a Hilbert space , we investigate how the geometry of the set $D(T,ρ)=\{ […
The lattices of invariant subspaces of a class of operators on the Hardy space
Bhupendra Paudyal, Zeljko Cuckovic
In the authors' first paper, Beurling-Rudin-Korenbljum type characterization of the closed ideals in a certain algebra of holomorphic functions was used to describe the lattice of…
A local weighted Axler-Zheng theorem in
Zeljko Cuckovic, Sonmez Sahutoglu, Yunus E. Zeytuncu
The well-known Axler-Zheng theorem characterizes compactness of finite sums of finite products of Toeplitz operators on the unit disk in terms of the Berezin transform of these ope…
A New Necessary Condition for the Hyponormality of Toeplitz Operators on the Bergman Space
Zeljko Cuckovic, Raul E. Curto
A well known result of C. Cowen states that, for a symbol , the Toeplitz operator acting on the Hardy space of th…
Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains
Zeljko Cuckovic, Yunus E. Zeytuncu
We show that on smooth complete Reinhardt domains, weighted Bergman projection operators corresponding to exponentially decaying weights are unbounded on spaces for all $p\no…
Adjoints of linear fractional composition operators on weighted Hardy spaces
Zeljko Cuckovic, Trieu Le
It is well known that on the Hardy space or weighted Bergman space over the unit disk, the adjoint of a linear fractional composition operator…
Essential norm estimates for the -Neumann operator on convex domains and worm domains
Zeljko Cuckovic, Sonmez Sahutoglu
In the paper we give a lower estimate for the essential norm of the -Neumann operator on convex domains and worm domains of Diederich and Fornaess.
Essential norm estimates for Hankel operators on convex domains in
Zeljko Cuckovic, Sonmez Sahutoglu
Let be a bounded convex domain with -smooth boundary and such that is harmonic on the nontrivial disks in the boundary. We e…
Invariant subspaces of the shift plus complex Volterra operator
Željko Čučković, Bhupendra Paudyal
The lattice of closed invariant subspaces of the Volterra operator acting on was completely described by Sarason. On the other hand, he explicitly found the lattice of c…
Toeplitzness of composition operators in several variables
Zeljko Cuckovic, Trieu Le
Motivated by the work of Nazarov and Shapiro on the unit disk, we study asymptotic Toeplitzness of composition operators on the Hardy space of the unit sphere in C^n. We extend som…
Axler-Zheng type theorem on a class of domains in C^n
Zeljko Cuckovic, Sonmez Sahutoglu
We prove a version of Axler-Zheng's Theorem on smooth bounded pseudoconvex domains in C^n on which the dbar-Neumann operator is compact.
Compactness of products of Hankel operators on convex Reinhardt domains in C^2
Zeljko Cuckovic, Sonmez Sahutoglu
Let D be a piecewise smooth bounded convex Reinhardt domain in C^2. Assume that the symbols f and g are continuous on the closure of D and harmonic on the disks in the boundary of…
Toeplitz operators on Bergman spaces of polyanalytic functions
Zeljko Cuckovic, Trieu Le
We study algebraic properties of Toeplitz operators on Bergman spaces of polyanalytic functions on the unit disk. We obtain results on finite-rank commutators and semi-commutators…
Compactness of products of Hankel operators on the polydisk and some product domains in
Zeljko Cuckovic, Sonmez Sahutoglu
Let be the polydisk in and the symbols such that and are pluriharmonic on any -dimensional polydisk in t…
Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains
Zeljko Cuckovic, Sonmez Sahutoglu
Using several complex variables techniques, we investigate the interplay between the geometry of the boundary and compactness of Hankel operators. Let f be a function smooth up to…
Commutants of Analytic Toeplitz Operators on the Bergman Space
Sheldon Axler, Zeljko Cuckovic, N. V. Rao
In this note we show that if two Toeplitz operators on a Bergman space commute and the symbol of one of them is analytic and nonconstant, then the other one is also analytic.