Wavelet characterization of Besov-Morrey and Triebel-Lizorkin-Morrey spaces
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چکیده
منابع مشابه
A quarkonial decomposition of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
The aim of this paper is to define the Besov-Morrey spaces and the TriebelLizorkin-Morrey spaces and to present a decomposition of functions belonging to these spaces. Our results contain an answer to the conjecture proposed by Mazzucato.
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The Littlewood–Paley theory is extended to weighted spaces of distributions on [−1, 1] with Jacobi weights w(t) = (1−t)(1+t) . Almost exponentially localized polynomial elements (needlets) {φξ}, {ψξ} are constructed and, in complete analogy with the classical case on R, it is shown that weighted Triebel–Lizorkin and Besov spaces can be characterized by the size of the needlet coefficients {〈f, ...
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ژورنال
عنوان ژورنال: Functiones et Approximatio Commentarii Mathematici
سال: 2008
ISSN: 0208-6573
DOI: 10.7169/facm/1229624654