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Mr Brett Wick4/3/17, 2:00 PMLecture 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...Go to contribution page
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Mr Petru Mironescu (Institut Camille Jourdan, Lyon 1)4/3/17, 3:15 PMThe 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...Go to contribution page
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Ms Cristina Benea (Universite de Nantes)4/3/17, 4:30 PM
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Dr Yulia Kuznetsova (Université de Bourgogne Franche Comté)4/3/17, 5:30 PMLet $G$ 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...Go to contribution page
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Mr Brett Wick4/4/17, 9:15 AMLecture 2 . .Go to contribution page
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Mr Emmanuel Russ (Université Grenoble Alpes)4/4/17, 10:45 AMLet $d\ge 2$, $\Omega\subset R^d$ 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...Go to contribution page
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Philippe Jaming4/4/17, 11:45 AMIn 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...Go to contribution page
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Dr Benoit Florent Sehba (University of Ghana)4/4/17, 2:15 PMIn 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.Go to contribution page
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Ms Dorothee Frey (Delft University of Technology)4/4/17, 3:15 PM
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Dr Marco Vitturi (Laboratoire Jean Leray, Université de Nantes)4/4/17, 4:30 PMAffine 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...Go to contribution page
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Mr Brett Wick4/5/17, 9:15 AMLecture 3Go to contribution page
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Mr Karim Kellay (Univ. Bordeaux)4/5/17, 10:45 AMNous 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...Go to contribution page
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Prof. Isabelle Chalendar (UPEM)4/5/17, 11:45 AMWe 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...Go to contribution page
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