Analysis Seminar
Analysis Seminar – Irina Holmes, Georgia Institute of Technology
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Commutators in the two-weight setting Abstract: In a foundational paper, Coifman, Rochberg and Weiss relate the norm of the commutator , where T is a Calderon-Zygmund operator, with the BMO norm of b. In this talk we explore a recent weighted version of this result. Specifically, we study the case when the commutator acts
Analysis Seminar – William Ross, University of Richmond
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Real complex functions Abstract: Sarason developed a wonderful structure theory for unbounded Toeplitz operators on the Hardy space. This talk will focus on unbounded symmetric Toeplitz operators which will lead us to a discussion of an interesting class of analytic functions on the unit disk — those which have real boundary values (almost everywhere).
Analysis Seminar – Jian Tan, Beijing Normal University
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesAbstract: The theory of variable exponent analysis has been rapidly developed recently. In this talk, we will consider some characterizations for variable exponent function spaces and boundedness of some classical operators in harmonic analysis. First, we provide a different method to obtain the new atomic decomposition of variable Hardy spaces by using discrete Littlewood-Paley-Stein characterization.
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
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 – 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 – 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
Seminar – Hristo Sendov, University of Western Ontario
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesEvery Calculus student is familiar with the classical Rolle’s theorem stating that if a real polynomial p satisfies p(−1) = p(1), then it has a critical point in (−1, 1). In 1934, L. Tschakaloff strengthened this result by finding a minimal interval, contained in (−1, 1), that holds a critical point of every real polynomial
Analysis Seminar – Yuanzhen Shao, Georgia Southern University
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: 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 – Vjekoslav Kovac (University of Zagreb, Croatia and Georgia Tech)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: A Szemeredi-type theorem for subsets of the unit cube. Abstract: We are interested in arithmetic progressions in positive measure subsets of ^d. After a counterexample by Bourgain, it seemed as if nothing could be said about the longest interval formed by sizes of their gaps. However, Cook, Magyar, and Pramanik gave a positive result