Events

Analysis Seminar – Eduard Roure Perdices, Universidad de Barcelona

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Weighted restricted weak type inequalities Abstract: We review classical results concerning the bounds of the Hardy-Littlewood maximal operator on weighted Lorentz spaces and discuss the analogous bounds for the

Analysis Seminar – Hyun Kwon, University of Alabama

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Cowen-Douglas Operators and the Corona Problem Abstract: I will discuss how the recent method used in solving various form of the corona problem can be used to classify Cowen-Douglas operators up to

Analysis Seminar – John-Oliver MacLellan (University of Alabama)

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: "A Compact Embedding Theorem for Degenerate Sobolev Spaces" Abstract: In this talk I will prove a compact embedding theorem for degenerate Sobolev spaces into naturally associated weighted Lebesgue spaces.

Analysis Seminar – Arum Lee (University of Alabama)

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Definition of Weak Solution of Poisson Equation with Homogeneous Dirichlet Boundary Condition Abstract: In this talk, I will discuss the ideas of weak derivatives, traces of Sobolev functions and

Analysis Seminar – Yuanzhen Shao, Georgia Southern University

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Some Applications of Singular Manifold Theory to Applied Mathematics Abstract: Many applications of applied sciences lead to differential equations with various types of singularities, including singularities of the geometry of the underlying space and singularities of the coefficients of the differential equations. The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented. I will illustrate by several examples from applied mathematics how to use this theory to treat different types of singularities via a unified approach.

Analysis Seminar – Ollie Tapiola (University of Missouri)

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Carleson measures, uniform wrectifiability and $\varepsilon$-approximability of harmonic functions in $L^p$ Abstract: Uniform rectifiability is a geometric property that is strongly connected with harmonic analysis and elliptic PDE. Although

Analysis Seminar – David Cruz-Uribe (University of Alabama)

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title:  Poincare inequalities and Neumann problems for the p-Laplacian Abstract:  I will discuss my recent work with Scott Rodney on the following equivalence:  the existence of solutions to a degenerate