title: On the inequality of Bohr for integrals of functions from Lp(Rn), 2 < p < +∞
metadata.name: dc.contributor.author
metadata.value: Ivanov, Boris F.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-01-05T17:54:17Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-01-05T17:54:17Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Ivanov B. F. On the inequality of Bohr for integrals of functions from Lp(Rn), 2 < p < +∞. Vestnik of Saint Petersburg University. Series 1. Mathematics. Mechanics. Astronomy, 2016, vol. 3 (61), issue 4, pp. 582–593.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2016.407
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/5898
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Let p ∈ (2,+∞), n ≥ 1, S be an open subset of Rn, and Γ(S, p) be a set of all the functions γ ∈ Lp(Rn)
  spectrum of which belongs to S. If n = 1 then S can contain zero and if n > 1 S can intersect coordinate hyperplanes. It is obtained sufficient condition validity of the inequality
         
   
  Et
  γ(τ) dτ
         
  L∞(Rn)
  ≤ C(n, p, S)  γ(τ) 
  Lp(Rn),
  where t = (t1, . . . , tn) ∈ Rn, Et = {τ|τ = (τ1, . . . , τn) ∈ Rn, τj ∈ [0, tj ], if tj ≥ 0, and τj ∈ [tj , 0], if tj < 0,
  1 ≤ j ≤ n}, and the constant C(n, p, S) > 0 does not depend on γ ∈ Γ(S, p). Refs 14.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант №14-01-00202).
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. Series 1. Mathematics. Mechanics. Astronomy;Vol. 3 (61); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: inequality of Bohr
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the inequality of Bohr for integrals of functions from Lp(Rn), 2 < p < +∞
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 07-Ivanov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/5898/1/07-Ivanov.pdf
resources.format: Adobe PDF
resources.size: 273,67 kB