• Contractive inequalities for Hardy spaces 

      Brevig, Ole Fredrik; Ortega-Cerdà, Joaquim; Seip, Kristian; Zhao, Jing (Journal article; Peer reviewed, 2018)
      We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical Hp spaces of the unit disc. We study both coefficient estimates in terms of weighted ℓ 2 sums ...
    • Iteration of composition operators on small Bergman spaces of Dirichlet series 

      Zhao, Jing (Journal article; Peer reviewed, 2018)
      The Hilbert spaces Hw consisiting of Dirichlet series F(s) = P∞ n=1 an n −s that satisfty P∞ n=1 |an| 2 /wn < ∞, with {wn}n of average order logj n (the j-fold logarithm of n), can be embedded into certain small Bergman ...
    • Pseudomoments of the Riemann zeta function 

      Bondarenko, Andrii; Brevig, Ole Fredrik; Saksman, Eero; Seip, Kristian; Zhao, Jing (Journal article; Peer reviewed, 2018)
      The 2kth pseudomoments of the Riemann zeta function ζ ( s ) are, following Conrey and Gamburd, the 2 k th integral moments of the partial sums of ζ ( s ) on the critical line. For fixed k > 1 / 2 , these moments are known ...
    • Some interactions between function spaces of Dirichlet series and number theory 

      Zhao, Jing (Doctoral theses at NTNU;2017:301, Doctoral thesis, 2017)