Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces
نویسندگان
چکیده
منابع مشابه
Jacobi Decomposition of Weighted Triebel-lizorkin and Besov Spaces
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, ...
متن کاملDecomposition 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...
متن کاملHomogeneity property of Besov and Triebel-Lizorkin spaces
We consider the classical Besov and Triebel-Lizorkin spaces defined via differences and prove a homogeneity property for functions with bounded support in the frame of these spaces. As the proof is based on compact embeddings between the studied function spaces we present also some results on the entropy numbers of these embeddings. Moreover, we derive some applications in terms of pointwise mu...
متن کاملTrace operators in Besov and Triebel-Lizorkin spaces
We determine the trace of Besov spaces Bsp,q(R ) and Triebel-Lizorkin spaces Fsp,q(R ) – characterized via atomic decompositions – on hyperplanes R, n > m ∈ N, for parameters 0 < p, q < ∞ and s > 1 p . The limiting case s = 1 p is investigated as well. We generalize these assertions to traces on the boundary Γ = ∂Ω of bounded C domains Ω. Our results remain valid considering the classical space...
متن کاملMultidimensional wavelet bases in Besov and Triebel-Lizorkin spaces
Skªadam serdeczne podzi ekowania Profesorowi Leszkowi Skrzypczakowi za jego nieocenion a pomoc, cierpliwo±¢ i wsparcie.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2012
ISSN: 0972-6802,1758-4965
DOI: 10.1155/2012/361807