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Approximation in generalized Hardy classes and resolution of inverse problems...
This thesis concerns both the theoretical and constructive resolution of inverse problems for isotropic diffusion equation in planar domains, simply and doubly... -
On Hardy spaces
19 pages -
Bilinear decompositions and commutators of singular integral operators
Trans. Amer. Math. Soc. 365 (2013), no. 6, 2931–2958. -
Parameter Identification for Laplace Equation and Approximation in Hardy Classes
We consider the inverse problem of identifying a Robin coefficient on some part of the boundary of a smooth 2D domain from overdetermined data available on the other... -
Sobolev and Hardy-Sobolev spaces on graphs
Let $\Gamma$ be a graph. Under suitable geometric assumptions on $\Gamma$, we give several equivalent characterizations of Sobolev and Hardy-Sobolev spaces on... -
Robust identification in the disc algebra from band-limited data
We consider the problem of identifying a scalar BIBO-stable transfer function from a series of experimental pointwise measurements at a set of frequencies lying within... -
Hardy approximation to $L^p$ functions on subsets of the circle
We consider approximation of $L^p$ functions by Hardy functions on subsets of the circle. We first derive some properties of traces of Hardy classes on such subsets,... -
DECOMPOSITION THEOREMS FOR HARDY SPACES ON CONVEX DOMAINS OF FINITE TYPE
In this paper we study the holomorphic Hardy spaces H p(Ω), where Ω is a convex domain of finite type in C n. We show that for 0 < p ≤ 1, the space H p(Ω) admits an... -
Bad boundary behavior in star invariant subspaces I
17 pages, shortened and revised version -
Identification de paramètres magnétiques à l'intérieur d'un tokamak
We study the inverse Cauchy problem which consists in recovering magnetic data (the flux and its normal derivative) inside a tokamak, more precisely in the area... -
Some inverse problems around the tokamak Tore Supra
International audience -
HARDY-SOBOLEV SPACES OF COMPLEX TANGENTIAL DERIVATIVES OF HOLOMORPHIC FUNCTIO...
In this paper, we prove Fefferman-Stein like characterizations of Hardy-Sobolev spaces of complex tangential derivatives of holomorphic functions in domains of finite... -
Boundary layers, Rellich estimates and extrapolation of solvability for ellip...
International audience -
noncommunicative martingale inequalities and applications
This thesis presents some results of the theory of noncommutative probability. It deals in particular with martingale inequalities in von Neumann algebras, and their... -
Hardy spaces and heat kernel regularity
In this paper, we show the equivalence between the boundedness of the Riesz transform $d\Delta^{-1/2}$ on $L^p$, $p\in (2,p_0)$, and the equality $H^p=L^p$,...
