After scanning, a document is typically blurred, and some noise is introduced. Therefore, the enhancement process of a scanned document requires a denoising and deblurring step. Typically, these steps are performed using techniques originated in the Fourier-domain. It has been shown in many image processing applications such as compression and denoising that wavelet-domain processing outperform...

It is shown that a Banach space E has type p if and only for some (all) d ≥ 1 the Besov space B ( 1 p − 1 2 )d p,p (R ;E) embeds into the space γ(L2(Rd), E) of γ-radonifying operators L2(Rd) → E. A similar result characterizing cotype q is obtained. These results may be viewed as E-valued extensions of the classical Sobolev embedding theorems.

We present some characterizations for the compactness of difference two composition operators acting between analytic Besov spaces and weighted little Bloch type space over unit disk.

We discuss a Bayesian formalism which gives rise to a type of wavelet threshold estimation in non-parametric regression. A prior distribution is imposed on the wavelet coe cients of the unknown response function, designed to capture the sparseness of wavelet expansion common to most applications. For the prior speci ed, the posterior median yields a thresholding procedure. Our prior model for t...

We study the asymptotic distribution of eigenvalues of integral operators Tk defined by kernels k which belong to Triebel-Lizorkin function space Fσ pu(F qv) by using the factorization theorem and the Weyl numbers xn. We use the relation between Triebel-Lizorkin space Fσ pu(Ω) and Besov space Bτ pq(Ω) and the interpolation methods to get an estimation for the distribution of eigenvalues in Lizo...

This work is devoted to the well-posedness issue for the low-Mach number limit system obtained from the full compressible Navier-Stokes system, in the whole space R with d ≥ 2. In the case where the initial temperature (or density) is close to a positive constant, we establish the local existence and uniqueness of a solution in critical homogeneous Besov spaces of type Ḃ p,1. If, in addition, t...

We establish atomic decompositions and characterizations in terms of wavelets for Besov-Lorentz spaces BqsLp,r(Rn) Triebel-Lizorkin-Lorentz FqsLp,r(Rn) the whole range parameters. As application we obtain new interpolation formulae between Lorentz-Sobolev type. also remove restrictions on parameters a result Peetre optimal embeddings Besov spaces. Moreover, derive results diffeomorphisms, exten...

Carleson and vanishing Carleson measures for Besov spaces on the unit ball of CN are defined using imbeddings into Lebesgue classes via radial derivatives. The measures, some of which are infinite, are characterized in terms of Berezin transforms and Bergman-metric balls, extending results for weighted Bergman spaces. Special cases pertain to Arveson and Dirichlet spaces, and a unified view wit...

In the present article, we have established a result on degree of approximation function in Besov space by (N; rn)- mean Trigonometric Fourier series

In this paper, we establish the global existence of small solutions to the inhomogeneous Navier-Stokes system in the half-space. The initial density only has to be bounded and close enough to a positive constant, and the initial velocity belongs to some critical Besov space. With a little bit more regularity for the initial velocity, those solutions are proved to be unique. In the last section ...