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The scale-splitting operators revisited

  • Doina CioranescuEmail author
  • Alain Damlamian
  • Georges Griso
Chapter
Part of the Series in Contemporary Mathematics book series (SCMA, volume 3)

Abstract

In Section 1.4, some estimates and convergence were obtained for functions in W1,p(ℝN), p ϵ [1+∞] (cf. Proposition 1.38 to Theorem 1.41). This chapter is devoted to similar estimates and convergences for functions in Lp(ℝN). Accordingly, the estimates are shifted by one order of derivation, e.g. (12.6). These results play a fundamental role in the following chapters on error estimates.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Doina Cioranescu
    • 1
    Email author
  • Alain Damlamian
    • 2
  • Georges Griso
    • 1
  1. 1.Laboratoire J.L. LIonsUniversity Pierre et Marie CurieParisFrance
  2. 2.Laboratoire d’Analyse et Mathématiques AppliquéesUniversité Paris-Est Créteil Val de MarneCreteil, CedexFrance

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