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Spectra of Generalized Cesàro Operators Acting on Growth Spaces
Centre for Mathematical Sciences, Lund University, Sweden.ORCID iD: 0000-0002-3197-783X
2018 (English)In: Integral equations and operator theory, ISSN 0378-620X, E-ISSN 1420-8989, Vol. 90, no 3, article id 26Article in journal (Refereed) Published
Abstract [en]

We study the spectrum of generalized Cesàro operators  acting on the class of growth spaces . We show how the problem of determining the spectrum is related to boundedness of standard weighted Bergman projections on weighted -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.

Place, publisher, year, edition, pages
2018. Vol. 90, no 3, article id 26
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:mdh:diva-64958DOI: 10.1007/s00020-018-2448-4Scopus ID: 2-s2.0-85046289914OAI: oai:DiVA.org:mdh-64958DiVA, id: diva2:1817981
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Lund UniversityAvailable from: 2023-12-08 Created: 2023-12-08 Last updated: 2023-12-08Bibliographically approved

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Malman, Bartosz

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