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M. Brett Wick03/04/2017 14:00Lecture 1: An important theorem in harmonic analysis connects the commutator of multiplication by a function and Calderon-Zygmund operators and the functions of bounded mean oscillation. And as a dual statement, it connects the Hardy space with a certain ``factorization'' of Lebesgue spaces. During these lectures we will give proofs of these theorems using tools from dyadic...Aller à la page de la contribution
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M. Petru Mironescu (Institut Camille Jourdan, Lyon 1)03/04/2017 15:15The smoothness of a function $f$ is described by the rate of convergence of the smoothings of $f$ to $f$. Another way to measure smoothness is given by the decay properties of the derivatives of these smoothings: this is encoded by the theory of weighted Sobolev spaces, developed in the 60s. In the first part of the lecture, we will recall some striking results of this theory, with focus on...Aller à la page de la contribution
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Mlle Cristina Benea (Universite de Nantes)03/04/2017 16:30
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Dr Yulia Kuznetsova (Université de Bourgogne Franche Comté)03/04/2017 17:30Let $G$ be a locally compact group, and let $1\le p < \infty$. Consider the weighted $L^p$-space $L^p(G,\omega)=\{f:\int|f\omega|^p<\infty\}$, where $\omega:G\to \R$ is a positive measurable function. Under appropriate conditions on $\omega$, $G$ acts on $L^p(G,\omega)$ by translations. When is this action hypercyclic, that is, there is a function in this space such that the set of all its...Aller à la page de la contribution
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M. Brett Wick04/04/2017 09:15Lecture 2 . .Aller à la page de la contribution
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M. Emmanuel Russ (Université Grenoble Alpes)04/04/2017 10:45Let $d\ge 2$, $\Omega\subset R^d$ be a smooth bounded domain and $f\in L^d(\Omega)$ with $\int_R f(x)dx=0$. Bourgain and Brezis proved that there exists a vector field $X \in W^{1;d}(\Omega)\cap L^\infty(\Omega)$ such that $div X = f$ and $||f||_{W^{1;d}}+||f||_{L^\infty}\le C ||f||_{L^d}. $ We will discuss various extensions of this result to more general functions spaces, and present...Aller à la page de la contribution
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Philippe Jaming04/04/2017 11:45In a recent paper Alaifari, Pierce & S. Steinerberger conjectured a lower bound for the Hilbert transform $H$ of the form $$ ||Hf||_{L^2(J)}\geq \exp(-c_{I,J}||f'||_1/||f||_2) ||f||_{L^2(I)} $$ when $I,J$ are disjoint intervals and $f\in L^2,f'\in L^1$. The aim of this talk is to present the motivation of this conjecture as an invitation to study lower bounds for Calderon Zygmund...Aller à la page de la contribution
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Dr Benoit Florent Sehba (University of Ghana)04/04/2017 14:15In 1978, D. Békollé and A. Bonami characterized the exact range of weights for which the Bergman projection is bounded on weighted Lebesgue spaces. In 2013, S. Pott and M. C. Reguera found the exact dependence of the norm of the Bergman projection on the Békollé-Bonami characteristic of the weight. In this talk, we discuss extension of these results to the upper-triangle case.Aller à la page de la contribution
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Mlle Dorothee Frey (Delft University of Technology)04/04/2017 15:15
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Dr Marco Vitturi (Laboratoire Jean Leray, Université de Nantes)04/04/2017 16:30Affine measures have been introduced in the past to facilitate the study of Fourier Restriction and the related question of the L^p smoothing properties of averages along submanifolds (convolution Radon transforms). They capture in a geometric way the role of curvature. In this talk we present the Affine Measures and then discuss the geometric interpretation of these objects - a line of...Aller à la page de la contribution
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M. Brett Wick05/04/2017 09:15Lecture 3Aller à la page de la contribution
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M. Karim Kellay (Univ. Bordeaux)05/04/2017 10:45Nous étudions les ensembles d’interpolation, d’unicité et d’échantillonnage multiple pour les espaces de Fock classiques dans le cas où la multiplicité est non bornée. Nous montrons, dans le cas hilbertien ainsi que celui de la norme uniforme, qu’il n’y a pas de suites simultanément d’échantillonnage et d’interpolation lorsque la multiplicité tend vers l’infini. Ceci répond partiellement...Aller à la page de la contribution
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Prof. Isabelle Chalendar (UPEM)05/04/2017 11:45We study the asymptotic behaviour of the powers $T^n$ of a continuous composition operator $T$ on an arbitrary Banach space $X$ of holomorphic functions on the open unit disc of the complex plane. We show that for composition operators, one has the following dichotomy: either the powers converge uniformly or they do not converge even strongly. We also show that uniform convergence of the...Aller à la page de la contribution
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