Spaces of Distributions of Besov and Triebel-Lizorkin Type for the Fourier-Bessel Transform
نویسندگان
چکیده
منابع مشابه
Decomposition of Besov and Triebel – Lizorkin spaces on the sphere ✩
A discrete system of almost exponentially localized elements (needlets) on the n-dimensional unit sphere Sn is constructed. It shown that the needlet system can be used for decomposition of Besov and Triebel–Lizorkin spaces on the sphere. As an application of Besov spaces on Sn, a Jackson estimate for nonlinear m-term approximation from the needlet system is obtained. © 2006 Elsevier Inc. All r...
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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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where F and B, with three indices, will denote the Lizorkin-Triebel space Fs p,q and the Besov space Bp,q, respectively. The different embeddings obtained here are under certain restrictions on the parameters. In this introduction, we will recall the definition of some spaces and some necessary tools. In Sections 2 and 3, we give the first contribution of this work. The theorems of Section 2 wi...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2001
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7380