# An Adaptive Compression Algorithm in Besov Spaces

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Properties of dyadic spaces are considered and a relationship between dyadic and classical spaces is described. A property of classical spaces is proved by using the technique of dyadic spaces.

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We investigate the estimation of a multiplicative separable regression function from a bidimensional nonparametric regression model with random design. We present a general estimator for this problem and study its mean integrated squared error (MISE) properties. A wavelet version of this...

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The behavior of the Lagrange polynomial L[SUBm](w, f), based on the zeros of the orthogonal polynomials, is studied in some weighted Besov spaces Br[SUPp,SUBr,q] (u). It is proved that L[SUBm](w) is a uniformly bounded map under suitable conditions on the weight functions and the parameters p,...

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Abstract Let ohms be a bounded Lipschitz domain. Define B[sup 0, 1, sub 1, r](ohms){Integral of is an element of L[sup 1](ohms): there is an F is an element of B[sup 0,1, sub 1](R[sup n])that F|[sub ohms] = f} and B[sup 0,1, sub 1, z](ohms) = {f is an element of B[sup 0, 1, sub 1](R[sup n]): f =...

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Sharp estimates of the point-evaluation functional in weighted Bergman spaces L[sup p] [sub a] (Î©, dÎ½[sub Î±] ) and for the point-evaluation derivalive functional in Besov spaces B[sup p] (Î©) are obtained for bounded symmetric domains Î© in â„‚[sup n] .

- Incompressible Viscous Flows in Borderline Besov Spaces. Hmidi, Taoufik; Keraani, Sahbi; Brenier, Y. // Archive for Rational Mechanics & Analysis;Aug2008, Vol. 189 Issue 2, p283
We establish two new estimates for a transport-diffusion equation. As an application we treat the problem of global persistence of the Besov regularity $$B_{p,1}^{\frac{2}{p}+1},$$ with $$p \in ]2,+\infty]$$ , for the two-dimensional Navierâ€“Stokes equations with uniform bounds on the...

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In the framework of denoising a function depending of a multidimensional variable (for instance an image), we provide a nonparametric procedure which constructs a pointwise kernel estimation with a local selection of the multidimensional bandwidth parameter. Our method is a generalization of the...

- Invariance of the White Noise for KdV. Oh, Tadahiro // Communications in Mathematical Physics;Nov2009, Vol. 292 Issue 1, p217
We prove the invariance of the mean 0 white noise for the periodic KdV. First, we show that the Besov-type space $${\widehat{b}^s_{p,\infty}}$$ , sp < -1, contains the support of the white noise. Then, we prove local well-posedness in $${\widehat{b}^s_{p, \infty}}$$ for p = 2 + , $${s =...