Browsing 2020 MU dissertations - Freely available online by Thesis Department "Mathematics (MU)"

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  • Adams inequalities with exact growth condition : on Rn and the Heisenberg group 

    Qin, Liuyu (University of Missouri--Columbia, 2020)
    In this thesis we prove sharp Adams inequality with exact growth condition for the Riesz potential as well as the more general strictly Riesz-like potentials on R[superscript n]. Then we derive the Moser-Trudinger type ...

  • Linear and multilinear spherical maximal functions 

    Ntosidis, Georgios (University of Missouri--Columbia, 2020)
    In dimensions n [greater than or equal to] 2 we obtain Lp1(Rn) x...x Lpm(Rn) to Lp(Rn) boundedness for the multilinear spherical maximal function in the largest possible open set of indices and we provide counterexamples ...

  • Phase retrieval in frame theory 

    Ghoreishi, Dorsa (University of Missouri--Columbia, 2020)
    This dissertation is the study of phase retrieval in frame theory. The first part is concerned with the analysis of phase retrieval and the complete classification of norm retrieval. Norm retrieval is essential to transfer ...