Spectra of Generalized Cesàro Operators Acting on Growth Spaces
(2018) In Integral Equations and Operator Theory 90(3).- Abstract
We study the spectrum of generalized Cesàro operators Tg acting on the class of growth spaces A- α. We show how the problem of determining the spectrum is related to boundedness of standard weighted Bergman projections on weighted L∞-spaces. Using this relation we establish some general spectral properties of these operators, and explicitly compute the spectrum for a large class of symbols g.
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https://lup.lub.lu.se/record/8aaa6032-9672-4ded-a027-47178e77881c
- author
- Malman, Bartosz LU
- organization
- publishing date
- 2018-06-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Generalized Cesàro operators, Volterra-type integral operators, Weighted Bergman projections, Weighted L-infinity spaces
- in
- Integral Equations and Operator Theory
- volume
- 90
- issue
- 3
- article number
- 26
- publisher
- Springer
- external identifiers
-
- scopus:85046289914
- ISSN
- 0378-620X
- DOI
- 10.1007/s00020-018-2448-4
- language
- English
- LU publication?
- yes
- id
- 8aaa6032-9672-4ded-a027-47178e77881c
- date added to LUP
- 2018-05-15 10:08:29
- date last changed
- 2022-03-17 07:31:22
@article{8aaa6032-9672-4ded-a027-47178e77881c, abstract = {{<p>We study the spectrum of generalized Cesàro operators T<sub>g</sub> acting on the class of growth spaces A<sup>-</sup> <sup>α</sup>. We show how the problem of determining the spectrum is related to boundedness of standard weighted Bergman projections on weighted L<sup>∞</sup>-spaces. Using this relation we establish some general spectral properties of these operators, and explicitly compute the spectrum for a large class of symbols g.</p>}}, author = {{Malman, Bartosz}}, issn = {{0378-620X}}, keywords = {{Generalized Cesàro operators; Volterra-type integral operators; Weighted Bergman projections; Weighted L-infinity spaces}}, language = {{eng}}, month = {{06}}, number = {{3}}, publisher = {{Springer}}, series = {{Integral Equations and Operator Theory}}, title = {{Spectra of Generalized Cesàro Operators Acting on Growth Spaces}}, url = {{http://dx.doi.org/10.1007/s00020-018-2448-4}}, doi = {{10.1007/s00020-018-2448-4}}, volume = {{90}}, year = {{2018}}, }