title: Constructive description of Hölder classes on some multidimensional compact sets
metadata.name: dc.contributor.author
metadata.value: Pavlov, Dmitriy A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-10-07T11:56:35Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-10-07T11:56:35Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Pavlov D.А. Constructive description of Hölder classes on some multidimensional compact sets. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2021, vol. 8 (66), issue 3, pp. 430–441.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2021.305
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/33259
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We give a constructive description of Hölder classes of functions on certain compacts in
  Rm (m > 3) in terms of a rate of approximation by harmonic functions in shrinking neighborhoods
  of these compacts. The considered compacts are a generalization to the higher
  dimensions of compacts that are subsets of a chord-arc curve in R3. The size of the neighborhood
  is directly related to the rate of approximation   it shrinks when the approximation
  becomes more accurate. In addition to being harmonic in the neighborhood of the compact
  the approximation functions have a property that looks similar to Hölder condition.
  It consists in the fact that the difference in values at two points is estimated in terms of
  the size of the neighborhood, if the distance between these points is commensurate with
  the size of the neighborhood (and therefore it is estimated in terms of the distance between
  the points).
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 8 (66); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: constructive description
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Hölder classes
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: approximation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: harmonic functions
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: chord-arc curves
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Constructive description of Hölder classes on some multidimensional compact sets
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 430-441.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/33259/1/430-441.pdf
resources.format: Adobe PDF
resources.size: 335,35 kB