• Almost everywhere convergence for modified Bochner Riesz means at the critical index for [rho] [greater than or equal to] 2 

    Annoni, Marco, 1981- (University of Missouri--Columbia, 2010)
    The Fourier transform is a mathematical operation that can be used with its inverse to rewrite a function as a sum of waves. It has been a useful mathematical tool for many applied sciences. Sometimes Fourier inversion is ...
  • Directional time-frequency analysis with applications 

    Sansing, Christopher, 1979- (University of Missouri--Columbia, 2006)
    The purpose of this dissertation is to introduce a new directionally-sensitive time frequency representation of a function. It is shown that we may break up a function (or signal) into individual time-frequency-direction ...
  • Distributional estimates for multilinear operators 

    Bilyk, Dmytro, 1979- (University of Missouri--Columbia, 2005)
    We prove that if a multilinear operator and all its adjoints map L1 x x L1 to L1/m,oo, then the distribution function of the operator applied to characteristic functions of sets of finite measure has exponential decay at ...
  • Maximal Fourier integrals and multilinear multiplier operators 

    Nguyen, Hanh Van (University of Missouri--Columbia, 2016)
  • Topics in Littlewood-Paley theory and BMO 

    Thompson, Brian (University of Missouri--Columbia, 2012)
    In this thesis we discuss some important results in Littlewood-Paley theory and the space of Bounded-Mean Oscillation functions, henceforth called BMO. Littlewood-Paley Theory has its roots in the Littlewood-Paley Theorem, ...
  • Weak Hardy spaces and paraproducts 

    He, Danqing (University of Missouri--Columbia, 2016)
    The purpose of this dissertation is to provide a new square function characterization of weak Hardy spaces in the full range of exponents possible and use this characterization in applications on endpoint estimates for ...