Results 11 to 20 of about 396 (26)

Closable Hankel operators and moment problems

, 2019
In a paper from 2016 D. R. Yafaev considers Hankel operators associated with Hamburger moment sequences q_n and claims that the corresponding Hankel form is closable if and only if the moment sequence tends to 0.
Berg, Christian, Szwarc, Ryszard
core   +1 more source

Toeplitz Operators on Weighted Bergman Spaces [PDF]

, 2012
In this article we characterize the boundedness and compactness of a Toeplitz-type operator on weighted Bergman spaces satisfying the so-called Bekolle-Bonami condition in terms of the Berezin ...
Chacón, Gerardo R.
core   +3 more sources

On compactness of the dbar-Neumann problem and Hankel operators

, 2011
Let $\D=\D_1\setminus \Dc_2$, where $\D_1$ and $\D_2$ are two smooth bounded pseudoconvex domains in $\C^n, n\geq 3,$ such that $\Dc_2\subset \D_1.$ Assume that the $\dbar$-Neumann operator of $\D_1$ is compact and the interior of the Levi-flat points in
Celik, Mehmet, Sahutoglu, Sonmez
core   +1 more source

Toeplitz Quantization without Measure or Inner Product

, 2013
This note is a follow-up to a recent paper by the author. Most of that theory is now realized in a new setting where the vector space of symbols is not necessarily an algebra nor is it equipped with an inner product, although it does have a conjugation ...
Sontz, Stephen Bruce
core   +1 more source

Unbounded Hankel operators and moment problems

, 2019
We find simple conditions for a non-negative Hankel quadratic form to be closable. Under some mild a priori assumption on the associated moments these sufficient conditions turn out to be also necessary.
Yafaev, D. R.
core   +1 more source

On semibounded Toeplitz operators

, 2016
We show that a semibounded Toeplitz quadratic form is closable in the space $\ell^2({\Bbb Z}_{+})$ if and only if its matrix elemens are Fourier coefficients of an absolutely continuous measure.
Yafaev, D. R.
core   +2 more sources

The weighted composition operators on the large weighted Bergman spaces

, 2018
In this paper, we characterize bounded, compact or Schatten class weighted composition operators acting on Bergman spaces with the exponential type weights. Moreover, we give the proof of the necessary part for the boundedness of composition operators on
Park, Inyoung
core   +1 more source

Commutants of the sum of two quasihomogeneous Toeplitz operators

Concrete Operators
A major open question in the theory of Toeplitz operator on the Bergman space of the unit disk of the complex plane is the complete characterization of the set of all Toeplitz operators that commute with a given operator.
Bouhali Aissa, Louhichi Issam
doaj   +1 more source

Toeplitz operators on Bergman spaces of polyanalytic functions

, 2010
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 of Toeplitz operators with harmonic symbols.
Cuckovic, Zeljko, Le, Trieu
core   +1 more source

Norm of the Bergman projection onto the Bloch space with $\mathcal{M}-$invariant gradient

, 2018
The value of the operator norm of Bergman projections from $L^{\infty}(\mathbb{B}^n)$ to Bloch space is found in \cite{KalajMarkovic2014}. The authors of mentioned paper proposed the problem of calculating the norm of the same class of operators with ...
Melentijević, Petar
core   +1 more source