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Abstrakty
The Littlewood-Paley theory is extended to weighted spaces of distributions on [-1,1] with Jacobi weights $w(t) = (1-t)^{α}(1+t)^{β}$. Almost exponentially localized polynomial elements (needlets) ${φ_{ξ}}$, ${ψ_{ξ}}$ are constructed and, in complete analogy with the classical case on ℝⁿ, it is shown that weighted Triebel-Lizorkin and Besov spaces can be characterized by the size of the needlet coefficients ${⟨f,φ_{ξ}⟩}$ in respective sequence spaces.
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Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
161-202
Opis fizyczny
Daty
wydano
2008
Twórcy
autor
- Department of Mathematics and Statistics, University of Cyprus, 1678 Nicosia, Cyprus
autor
- Department of Mathematics, University of South Carolina, Columbia, SC 29208, U.S.A.
- Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
autor
- Department of Mathematics, University of Oregon, Eugene, OR 97403, U.S.A.
Bibliografia
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-2-3