Estimating Dixmier traces of Hankel operators in Lorentz ideals
(2020) In Journal of Functional Analysis 279(7).- Abstract
- In this paper we study Dixmier traces of powers of Hankel operators in Lorentz ideals. We extend results of Engliš-Zhang to the case of powers p ≥1 and general Lorentz ideals starting from abstract extrapolation results of Gayral-Sukochev. In the special case p =2, 4, 6 we give an exact formula for the Dixmier trace. For general p, we give upper and lower bounds on the Dixmier trace. We also construct, for any pand any Lorentz ideal, examples of non-measurable Hankel operators.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/f0972a0d-8942-4cde-b166-74739bdbe144
- author
- Goffeng, Carl Henrik Tryggve Magnus LU and Usachev, Alexandr
- publishing date
- 2020
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Hankel operator, Hardy space, Dixmier trace, Besov space
- in
- Journal of Functional Analysis
- volume
- 279
- issue
- 7
- article number
- 108688
- publisher
- Elsevier
- external identifiers
-
- scopus:85087413080
- ISSN
- 0022-1236
- DOI
- 10.1016/j.jfa.2020.108688
- language
- English
- LU publication?
- no
- id
- f0972a0d-8942-4cde-b166-74739bdbe144
- date added to LUP
- 2021-03-12 12:05:32
- date last changed
- 2022-04-19 05:06:59
@article{f0972a0d-8942-4cde-b166-74739bdbe144, abstract = {{In this paper we study Dixmier traces of powers of Hankel operators in Lorentz ideals. We extend results of Engliš-Zhang to the case of powers p ≥1 and general Lorentz ideals starting from abstract extrapolation results of Gayral-Sukochev. In the special case p =2, 4, 6 we give an exact formula for the Dixmier trace. For general p, we give upper and lower bounds on the Dixmier trace. We also construct, for any pand any Lorentz ideal, examples of non-measurable Hankel operators.}}, author = {{Goffeng, Carl Henrik Tryggve Magnus and Usachev, Alexandr}}, issn = {{0022-1236}}, keywords = {{Hankel operator; Hardy space; Dixmier trace; Besov space}}, language = {{eng}}, number = {{7}}, publisher = {{Elsevier}}, series = {{Journal of Functional Analysis}}, title = {{Estimating Dixmier traces of Hankel operators in Lorentz ideals}}, url = {{http://dx.doi.org/10.1016/j.jfa.2020.108688}}, doi = {{10.1016/j.jfa.2020.108688}}, volume = {{279}}, year = {{2020}}, }