227 Gordon Palmer Hall
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
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
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 – Geoff Diestel, Texas A&M of Central Texas
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Determining Convex Bodies from Central Sections Abstract: Barker and Larman posed a problem which asks if a convex body in real n-space is uniquely determined by the volumes of its hyperplane sections supported by an internal compact convex set. A survey of some partial results along with the Minkowski uniqueness theorem are presented along
Analysis Seminar – Jaedeok Kim (Jacksonville State)
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAbstract: A classification of partial isometries defined on a Hilbert space can be made in terms of positions that two subspaces, the initial space and the final space, form. When the orthogonal projections onto two subspaces commute, any power of the partial isometry remains also a partial isometry. This type of partial isometry is called
Analysis Seminar – Edward Timko, Indiana University
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle : On polynomial n-tuples of commuting isometries Abstract : We extend some of the results of Agler, Knese, and McCarthy to n-tuples of commuting isometries for n>2. Let V=(V_1,...,V_n) be an n-tuple of a commuting isometries on a Hilbert space and let Ann(V) denote the set of all n-variable polynomials p such that p(V)=0.
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
Analysis Seminar – Alexander Stokolos, Georgia Southern University
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesStability in non-linear dynamics - complex analysis approach
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 – Cong Hoang, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesMUCKENHOUPT-WHEEDEN CONJECTURES FOR SPARSE OPERATORS Abstract. In this talk, we will show an example of a pair of weights (u, v) for which the Hardy-Littlewood maximal function is bounded from Lp(v) to Lp(u) and from Lp! (u1−p! ) to Lp! (v1−p! ) while a dyadic sparse operator is not bounded on the same domain and