Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball

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dc.creatorKyriazis, G.
dc.creatorPetrushev, P.
dc.creatorXu, Yuan
dc.date2007-03-14
dc.date.accessioned2026-07-07T07:51:53Z
dc.date.available2026-07-07T07:51:53Z
dc.descriptionWeighted Triebel-Lizorkin and Besov spaces on the unit ball $B^d$ in $\Rd$ with weights $\W(x)= (1-|x|^2)^{μ-1/2}$, $μ\ge 0$, are introduced and explored. A decomposition scheme is developed in terms of almost exponentially localized polynomial elements (needlets) $\{ϕ_ξ\}$, $\{ψ_ξ\}$ and it is shown that the membership of a distribution to the weighted Triebel-Lizorkin or Besov spaces can be determined by the size of the needlet coefficients $\{\ip{f,ϕ_ξ}\}$ in appropriate sequence spaces.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0703403
dc.identifierhttp://arxiv.org/abs/math/0703403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125680
dc.subjectClassical Analysis and ODEs
dc.subject41A25, 42B35, 42C15
dc.titleDecomposition of weighted Triebel-Lizorkin and Besov spaces on the ball
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