Results 31 to 40 of about 32,869 (134)

New frames of Besov and Triebel-Lizorkin spaces [PDF]

, 2005
Let s≺0. The author obtains some new frames for Besov spaces Bpqs(ℝn) with 1≤p, q≤∞ and Triebel-Lizorkin spaces Fpqs(ℝn) with 1≺p≺∞ and 1≺q≤∞ by a dual method via the subatomic characterizations of these spaces when s ...
Dachun Yang
core   +1 more source

Schatten Properties of Calderón–Zygmund Singular Integral Commutator on stratified Lie groups [PDF]

Journal des Mathématiques Pures et Appliquées
We provide full characterisation of the Schatten properties of $[M_b,T]$, the commutator of Calder\'{o}n--Zygmund singular integral $T$ with symbol $b$ $(M_bf(x):=b(x)f(x))$ on stratified Lie groups $\mathbb{G}$. We show that, when $p$ is larger than the
Ji Li, Xiao Xiong, Fu-Lin Yang
semanticscholar   +1 more source

Oscillations and differences in Besov-Morrey and Besov-type spaces [PDF]

In this paper we investigate Besov-Morrey spaces $\mathcal{N}^{s}_{u,p,q}(\Omega)$ and Besov-type spaces $B^{s,\tau}_{p,q}(\Omega)$ of positive smoothness defined on Lipschitz domains $\Omega \subset \mathbb{R}^d$ as well as on $\mathbb{R}^d$. We combine
Weimar, Markus, Hovemann, Marc
core   +1 more source

The dual of Besov spaces on fractals [PDF]

, 1995
For certain classes of fractal subsets F of $ℝ^n$, the Besov spaces $B_α^{p,q}(F)$ have been studied for α > 0 and 1 ≤ p,q ≤ ∞. In this paper the Besov spaces $B_α^{p,q}(F)$ are introduced for α < 0, and it is shown that the dual of $B_α^{p,q}(F)$ is $B_{
Jonsson, Alf, Wallin, Hans
core  

Composition operators between the Hardy space Hp and the Bergman spaces Lqa

International Journal of Statistics and Applied Mathematics
We study composition operators C φ between the Hardy space H p and the Bergman spaces L qa , between the Besov type space Bp,p-1 and the Bergman spaces L qa . Using the main results in this paper, as a result, we can also prove the following: If 0
R. Yoneda
semanticscholar   +1 more source

Nonlinear Solution of Linear Inverse Problems by Wavelet–Vaguelette Decomposition

, 1995
We describe the wavelet–vaguelette decomposition (WVD) of a linear inverse problem. It is a substitute for the singular value decomposition (SVD) of an inverse problem, and it exists for a class of special inverse problems of homogeneous type—such as ...
D. Donoho
semanticscholar   +1 more source

Besov Spaces On Domains In R d [PDF]

, 1993
. We study Besov spaces B ff q (Lp(\Omega\Gamma95 0 ! p; q; ff ! 1 on domains\Omega in R d . We show that there is an extension operator E which is a bounded mapping from B ff q (Lp(\Omega\Gamma9 onto B ff q (Lp (R d )).
Sharpley, Robert C, Ronald A. Devore, Robert C. Sharpley, DeVore, Ronald A   +3 more
core  

Wavelet decompositions of anisotropic Besov spaces

, 1999
In [6, 11], a technique was presented apted to characterize interpolation spaces with wavelet decompositions which only depended on the Jackson and the Bernstein inequalities.
Os Anita Tabacco, Besov Spaces, Gustavo Garrig, Gustavo Garrig Os   +3 more
core  

Wavelets and Real Interpolation of Besov Spaces

, 2021
In view of the importance of Besov space in harmonic analysis, differential equations, and other fields, Jaak Peetre proposed to find a precise description of (Bp0s0,q0,Bp1s1,q1)θ,r. In this paper, we come to consider this problem by wavelets.
Qixiang Yang, Zhenzhen Lou, Jianxun He, Kaili He   +3 more
core   +1 more source

Estimates of the characteristics of nonlinear approximation of classes $B^{\Omega}_{p,\theta}$ of periodic functions of many variables in the space $B_{q,1}$

Carpathian Mathematical Publications
Exact order estimates of the best $m$-term trigonometric approximation and the best orthogonal trigonometric approximation of functions from the Nikol'skii-Besov-type classes $B^{\Omega}_{p,\theta}$ in the Lebesgue subspaces $B_{q,1}$ for certain ...
O. V. Fedunyk-Yaremchuk, S. Hembars'ka, K. V. Solich   +2 more
semanticscholar   +1 more source