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

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

2008-04-29

arxiv.org/abs/0804.4648v1

Mathematics

Classical Analysis and ODEs

42 pages

Scientific paper

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.

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