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Hankel operators and the Dixmier trace on the Hardy space
We give criteria for the membership of Hankel operators on the Hardy space Dixmier-class Hankel operators that are not measurable (that is, their Dixmier trace depends on the choice of the underlying Banach limit),...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
The Dixmier trace of Hankel operators on the Bergman space
We show, that a Hankel operator on the Bergman space of the unit disc belongs to the Dixmier class if and only if the anti-holomorphic derivative of its symbol is integrable over the unit circle....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
New Explicitly Diagonalizable Hankel Matrices Related to the Stieltjes-Carlitz Polynomials
matrix operators are obtained when taking into account also weighted Hankel matrices.Four new examples of explicitly diagonalizable Hankel matrices depending on a parameter k is an element of $(0,1)$ are presented. The
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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A new kind of Hankel-Toeplitz type operator.
We describe a new kind of Hankel-Toeplitz type operators on the disc, arising from the complementary series of representations of SU (1,1),and establish their basic properties such as boundedness and Schatten von Neumann classes mem...
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Hankel operators and the Dixmier trace on strictly pseudoconvex domains
Generalizing earlier results for the disc and the ball, we give a formula for the Dixmier trace of the product of 2(n) Hankel operators on Bergman spaces of strictly pseudoconvex domains in C-n. The answer turns out to involve the d...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Toeplitz operators on higher Cauchy-Riemann spaces
We develop a theory of Toeplitz, and to some extent Hankel, operators on the kernels of powers of the boundary d-bar operator, suggested by Boutet de Monvel analysis, defined using instead the covariant Cauchy-Riemann o...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Dixmier classes on generalized Segal-Bargmann-Fock spaces
We give criteria for the membership of Toeplitz operators and products of Hankel operators, with symbols of a certain type, in the Dixmier class, and formulas for their Dixmier trace, on a variety of weighted Segal-Bargmann...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On Hankel matrices commuting with Jacobi matrices from the Askey scheme
A complete characterization is provided of Hankel matrices commuting with Jacobi matrices which correspond to hypergeometric orthogonal polynomials from Hilbert matrix is the only prominent infinite-rank Hankel matrix which, if rega...
Pure mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Factorization of Toeplitz and Hankel operators.
Annotation not available...
BA - Obecná matematika
- 1997 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Toeplitz and Hankel operators and Dixmier trances on the unit ball of C-n
We compute the Dixmier trace of pseudo-Toeplitz operators on the Fock space. As an application we find a formula for the Dixmier trace of the product of commutators of Toeplitz operators on the Hardy and weighted Bergman spaces on t...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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