Besov and Triebel–Lizorkin spaces for Schrödinger operators with inverse–square potentials and applications

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Abstract

Let La be a Schrödinger operator with inverse square potential a|x|−2 on Rn,n≥3. The main aim of this paper is to develop the theory of new Besov and Triebel–Lizorkin spaces associated to La based on the new space of distributions. As applications, we apply the theory to study some problems on the parabolic equation associated to La.

Original languageEnglish
Pages (from-to)641-688
Number of pages48
JournalJournal of Differential Equations
Volume269
Issue number1
DOIs
Publication statusPublished - 15 Jun 2020

Keywords

  • Inverse-square potential
  • Distributions;
  • Besov spaces
  • Triebel–Lizorkin spaces
  • Maximal regularity

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