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arXiv:0804.4648 [math.CA]AbstractReferencesReviewsResources

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

G. Kerkyacharian, P. Petrushev, D. Picard, Yuan Xu

Published 2008-04-29Version 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 Besov spaces induced by Laguerre expansions can be characterized in terms of respective sequence spaces that involve the needlet coefficients.

Comments: 42 pages
Categories: math.CA, math.FA
Subjects: 42B35, 42C10, 42C40
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