Hermite pseudo-multipliers on new Besov and Triebel–Lizorkin spaces

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Abstract

Consider the Hermite operator H=−Δ+|x|2 on the Euclidean space Rn. The main aim of this article is to prove the boundedness of Hermite pseudo-multiplier σ(⋅,H) on some appropriate Besov and Triebel–Lizorkin spaces.

Original languageEnglish
Article number105348
Pages (from-to)1-16
Number of pages16
JournalJournal of Approximation Theory
Volume252
DOIs
Publication statusPublished - Apr 2020

Keywords

  • Pseudo-multiplier
  • Hermite expansion
  • Besov space
  • Triebel–Lizorkin space

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