title: Density of simple partial fractions with poles on the circle in weighted spaces for the disk and the interval
metadata.name: dc.contributor.author
metadata.value: Komarov, Mikhail A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-05-30T15:26:55Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-05-30T15:26:55Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Komarov M.A. Density of simple partial fractions with poles on the circle in weighted spaces for the disk and the interval. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 1, pp. 96–107. https://doi.org/10.21638/spbu01.2024.105 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.105
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45452
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Approximation properties of simple partial fractions (the logarithmic derivatives of algebraic
  polynomials) having all poles on the unit circle are investigated. We obtain criteria
  for the density of such fractions is some classical integral spaces: in the spaces of functions
  summable with degree p in the unit interval with the ultraspheric weight and in the
  (weighted) Bergman spaces of functions analytic in the unit disk and summable with degree
  p over the area of the disk. Our results generalize to the case of an arbitrary exponent p > 0
  the known criteria by Chui and Newman and by Abakumov, Borichev and Fedorovskiy for
  the Bergman spaces with p = 1 and p = 2, correspondingly.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 11 (69); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: simple partial fraction
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Bergman space
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Chui’s problem
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Density of simple partial fractions with poles on the circle in weighted spaces for the disk and the interval
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 96-107.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45452/1/96-107.pdf
resources.format: Adobe PDF
resources.size: 324,17 kB