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Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions

A 2008 Preprint by G. Kerkyacharian, P. Petrushev, D. Picard, and Y. Xu

  • 2008:02
  • A pair of dual frames with almost exponentially localized elements (needlets) are constructed on $R^d _ +$ based on Laguerre functions. It is shown that the Triebel-Lizorkin and Besov spaces induced by Laguerre expansions can be characterized in terms of respective sequence spaces that involve the needlet coefficients.

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