Kabe Moen
Analysis Seminar – Shibin Dai (University of Alabama)
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: An introduction to Gamma convergence Abstract: Many mathematical problems involve parameters that make those problems more and more complex or degenerate. It is of great interest to study the limiting behavior when the parameter varies. One class of such problems can be studied in a variational framework. Writing $F_\epsilpon$ as a class of functional
Analysis Seminar – Bingyuan Liu (University of California, Riverside) Geometry of the @-Neumann problem and the D{F index
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAbstract. We shall rst introduce the classical works of Hormander and Kohn on the L2 estimates of the @(-Neumann) problem on bounded domains and then describe applications in complex geometry. It turns out that the boundary geometry plays the fundamental role in the Sobolev estimates of the @ solution. The Diederich{Fornss index is the geometric invariant which predicts the estimates.
Analysis Seminar Organizational Meeting
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAnalysis Seminar – Kabe Moen, University of Alabama
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: Cotlar’s Inequality Abstract: We will go over Cotlar’s classic inequality concerning the maximal truncation operator of a Calderon-Zygmund operator. We will also cover some recent results for operators that satisfy a stronger Cotlar inequality.
Analysis Seminar – Scott Rodney, Cape Breton University
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: Compact Embeddings of Weighted Sobolev Spaces Abstract: In this talk I will discuss some improvements to recent results concerning the compact em- bedding of generalized Sobolev classes into weighted Lq spaces. The novelty of the result lay in the approach. Arguments use Cauchy sequences rather than distributional denitions of Sobolev classes. As a result,
Special Analysis Seminar – Marcin Bownik, University of Oregon
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: Exponential frames and syndetic Riesz sequences Abstract: In this talk we shall explore some of the consequences of the solution to the Kadison-Singer problem. In the first part of the talk we present results from a joint work with Itay Londner. We show that every subset $S$ of the torus of positive Lebesgue measure
Analysis Seminar – David Cruz-Uribe, University of Alabama
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesAbstract: In this talk I will give an over-view of the Stieltjes integral and review some of the many definitions that appear in the literature. I will talk about the strengths and weaknesses of each, particularly in relationship to the classical Darboux and Riemann integrals. I will conclude with a discussion of a new definition
Analysis Seminar – Tuoc Phan, University of Tennessee, Knoxville
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Calderon-Zygmund theory for nonlinear partial differential equations and applications Abstract: In this talk, we will discuss several recent developments on regularity theory estimates in Sobolev spaces for solutions of several classes of elliptic and parabolic nonlinear PDEs. Some classes of considered equations may be singular and degenerate. Important ideas and techniques will be highlighted. Connections and applications of the results
Analysis Seminar – José María Martell (Instituto de Ciencias Matematicas, Madrid Spain)
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: Understanding BMO and VMO using elliptic systems in the upper-half space Abstract: Harmonic Analysis plays a fundamental role in the study of boundary value problems for elliptic operators. In the simplest case of the Laplacian in the upper half-space, the Dirichlet boundary value problem with data in BMO (i.e., having bounded mean oscillation) is solved
Analysis Seminar – John Oliver MacLellan
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesSpeaker: John-Oliver MacLellan Title: Necessity of Two Weight Ap for L^p Boundedness of Singular Integral Operators Abstract: The goal of this talk is to investigate necessary conditions for a singular integral operator to map L^p(v)-> L^p(u). I will review the classical results for the maximal operator and Hilbert transform and then talk about more recent