Analysis Seminar
Colloquium – Maria Pereyra, University of New Mexico
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: Dyadic Harmonic Analysis and Weighted Inequalities Abstract: In this talk we will present some basic ideas in harmonic analysis via simpler dyadic models. We will show how they can be used to describe important continuous objects such as the Hilbert transform or more generally singular integral operators. We will introduce the dyadic setting, Haar functions, and basic
Analysis Seminar – Hanh Nguyen, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesHormander’s Condition for Multilinear Fourier Multipliers ABSTRACT: Let m be a positive integer. In this talk, we will introduce optimal conditions, expressed in terms of Sobolev spaces, on m-linear Fourier multiplier operators to be bounded from a product of Lebesgue or Hardy spaces to Lebesgue spaces. Our results are sharp and cover the bilinear case (m
Analysis Seminar – Kabe Moen, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAlgebra Seminar – Bulent Tosun, University of Alabama
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle:Contact and symplectic geometry in low dimensions Abstract: This series of talks will be about explaining some fundamental open problems in three-dimensional contact geometry. The first talk will be devoted to a gentle introduction to low dimensional contact and symplectic topology: some of the important problems that have been shaping much of current research, and
Analysis Seminar – Robert Rahm, Washington University in St. Lewis
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Fractional Integral Operators Associated to Schrodinger Operators Abstract: Consider the Schroedinger operator Lf(x) = - Laplace f(x) + V(x)f(x). We investigate weighted inequalities for the fractional integral operator I_a = (L)^-a/2. More precisely, let 0 < a < n and 1/p - 1/q = a/n, we would like to estimate the operator norm of
Analysis Seminar – Jose Conde, Instituto de Ciencias Matematicas, Madrid, Spain
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesConde-Alonso, Jos´e Manuel (Universitat Aut`onoma de Barcelona, Spain): A dyadic RBMO space and pointwise domination of nonhomogeneous Calder´on- Zygmund operators. Abstract: We revisit basic nonhomogeneous Caldero´n-Zygmund theory from the point of view of martingales. Given a measure µ of polynomial growth on Rd, we refine a deep result by David and Mattila to construct an
Seminar – Francesco Di Plinio, University of Virginia
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Sparse domination of singular integral operators. Abstract: Singular integral operators, which are a priori signed and non-local, can be dominated in norm, pointwise, or dually, by sparse averaging operators, which are in contrast positive and localized. The most striking consequence is that weighted norm inequalities for the singular integral follow from the corresponding, rather
Analysis Seminar – Oscar Guzman, Departamento de Matematicas, Universidad Nacional de Colombia, Bogota, Colombia
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesVARIABLE EXPONENT BOUNDED VARIATION SPACES IN THE RIESZ SENSE Abstract This talk introduces Variable Exponent Bounded Variation Spaces in the Riesz Sense. We prove some embedding results and present a Riesz representation lemma in our setting . Also it shows an application of the latter result by characterizing the global Lipschitz Nemytskii operator on the newly introduced spaces
Analysis Seminar – Michael Dabkowski (Lawrence Technological University)
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Global Stability of a Class of Nonlinear PDE with a Nonlocal Term Abstract: We will establish global asymptotic stability results for a class of non-linear PDE which arise in approximations of models of particle coarsening. These PDE must satisfy a conservation of mass constraint which induces a nonlocal term into the equation. Our method