227 Gordon Palmer Hall
Analysis Seminar – Arum Lee (University of Alabama)
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: 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 the weak solution of Poisson equation. These definitions are the very basic but important definitions in PDE. This talk will explain the motivation behind these
Analysis Seminar – John-Oliver MacLellan (University of Alabama)
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: "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. This is a generalization of the Rellich Kondrachov compactness theorem for classical Sobolev spaces. These embeddings have been studied in a very general context in
Analysis Seminar – Oleksandra Beznosova, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAnalysis Seminar – Tim Ferguson, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Ahlfors' Extension of the Schwarz-Pick Lemma Abstract: I will discuss Ahlfors' extension of the Schwarz-Pick lemma from complex analysis. This lemma involves negatively curved conformal metrics called ultrahyperbolic metrics and compares them to Poincare metric on the unit disc. As an application, I will discuss a proof of Picard's theorem. (Don't worry, you don't need to know
Analysis Seminar – Hyun Kwon, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: 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 similarity.
Analysis Seminar – Eduard Roure Perdices, Universidad de Barcelona
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: 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 pointwise product of such operators. A new Hölder-type inequality for Lorentz spaces is used.
Analysis Seminar – Leonid Slavin, University of Cincinnati
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United Statesabstract_alabama_2017
Analysis Seminar – Hanh Nguyen, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: The boundedness of multilinear Calderon-Zygmund operators on weighted and variable spaces. Abstract: In this talk, we will establish the boundedness of the above operators from a product of weighted Hardy spaces into a weighted Hardy space or weighted Lebesgue space. Our work extends a result of Stromberg and Torchinsky for linear operators to multilinear
Analysis Seminar
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAnalysis Seminar – Kabe Moen, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Commutators and weighted norm inequalities Abstract: We will review the theory of commutators and BMO functions. As an application of the theory of weighted norm inequalities we will show that the commutator of an operator that satisfies certain weighted norm inequalities is bounded on L^p. We also show show a converse to this result.