Besov space
type: Thing
description: generalization of Sobolev spaces
additional property: PropertyValue
  property ID: P61
  value: Oleg Besov
additional property: PropertyValue
  property ID: P138
  value: Oleg Besov
additional property: PropertyValue
  property ID: P279
  value: function space
additional property: PropertyValue
  property ID: P646
  value: /m/04g23nz
additional property: PropertyValue
  property ID: P1482
  value: https://mathoverflow.net/tags/besov-spaces
additional property: PropertyValue
  property ID: P2534
  value: B^{n+\alpha}_{p,q}(\mathbb R)=\left\{f\in W^{n,p}(\mathbb R) \Bigg| \int_0^\infty \left|\frac{\sup_{|h|<t}\|f^{(n)}(x+2h)-2f^{(n)}(x+h)+f^{(n)}(x)\|_p}{t^\alpha}\right|^q\frac{\mathrm dt}t<\infty \right\}
additional property: PropertyValue
  property ID: P6104
  value: WikiProject Mathematics
additional property: PropertyValue
  property ID: P6366
  value: 129698243
additional property: PropertyValue
  property ID: P7235
  value: B^{n+\alpha}_{p,q}(\mathbb R)
additional property: PropertyValue
  property ID: P7235
  value: W^{n,p}(\mathbb R)
additional property: PropertyValue
  property ID: P10283
  value: C129698243
confidence:
  popularity graph score:
    score: 0.006
    score pct: 1
    tier: long_tail
    components:
      sitelinks: 7
      sitelinks norm: 0.017
      unique citations: 2
      unique citations norm: 0.001
      monthly pageviews: 0
      monthly pageviews norm: 0.0
  sitelinks: 7
  unique citations: 2
  monthly pageviews: 0
  yearly pageviews: 272
  pageview trend:
    m: 2026-06
    v: 162
  pageview trend:
    m: 2026-05
    v: 1
  pageview trend:
    m: 2026-05
    v: 1
  pageview trend:
    m: 2026-05
    v: 1
  pageview trend:
    m: 2026-05
    v: 1
  pageview trend:
    m: 2026-05
    v: 23
  pageview trend:
    m: 2026-04
    v: 1
  pageview trend:
    m: 2026-04
    v: 1
  pageview trend:
    m: 2026-04
    v: 81
  popularity:
    sitelinks: 7
    max: 423
    pct: 1.7
  tier: long_tail
claims:
  P61:
    value: Q43323
    source count: 0
    confidence: 0.0
    value label: Oleg Besov
  P138:
    value: Q43323
    source count: 0
    confidence: 0.0
    value label: Oleg Besov
  P279:
    value: Q934367
    source count: 0
    confidence: 0.0
    value label: function space
  P646:
    value: /m/04g23nz
    source count: 1
    confidence: 0.2
  P1482:
    value: https://mathoverflow.net/tags/besov-spaces
    source count: 0
    confidence: 0.0
  P2534:
    value: B^{n+\alpha}_{p,q}(\mathbb R)=\left\{f\in W^{n,p}(\mathbb R) \Bigg| \int_0^\infty \left|\frac{\sup_{|h|<t}\|f^{(n)}(x+2h)-2f^{(n)}(x+h)+f^{(n)}(x)\|_p}{t^\alpha}\right|^q\frac{\mathrm dt}t<\infty \right\}
    source count: 0
    confidence: 0.0
  P6104:
    value: Q8487137
    source count: 0
    confidence: 0.0
    value label: WikiProject Mathematics
  P6366:
    value: 129698243
    source count: 0
    confidence: 0.0
  P7235:
    value: B^{n+\alpha}_{p,q}(\mathbb R)
    source count: 0
    confidence: 0.0
  P7235:
    value: W^{n,p}(\mathbb R)
    source count: 0
    confidence: 0.0
  P10283:
    value: C129698243
    source count: 1
    confidence: 0.2
citations:
  source: OpenAlex
  stated in qid: Q107507571
  retrieved: 2022-01-26
citations:
  source: Freebase Data Dumps
  stated in qid: Q15241312
  pub year: 2013
meta:
  wikidata id: Q526261
  domain: general
  level: standard
  html url: https://4ort.xyz/entity/besov-space
  markdown url: https://4ort.xyz/entity/besov-space.md
  facts url summary: https://4ort.xyz/entity/besov-space/facts.json
  facts url standard: https://4ort.xyz/entity/besov-space/facts.json
  facts url full: https://4ort.xyz/entity/besov-space/facts.json
  data source: Wikidata (CC0 / public domain)
  license: https://creativecommons.org/publicdomain/zero/1.0/
  api version: v1
  served at: 2026-08-24T08:53:02.740964Z
  entity updated at: 2026-04-10T23:28:04.705896+00:00Z
  entity created at: 2026-04-10T23:28:04.705896+00:00Z