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

G. Kerkyacharian, P. Petrushev, D. Picard +1

A pair of dual frames with almost exponentially localized elements (needlets) are constructed on $\RR_+^d$ based on Laguerre functions. It is shown that the Triebel-Lizorkin and Be…