Browsing by Subject "Triebel-Lizorkin spaces"

Now showing items 1-3 of 3

    • Article  

      Compactly supported frames for spaces of distributions associated with nonnegative self-adjoint operators 

      Dekel, S.; Kerkyacharian, G.; Kyriazis, George C.; Petrushev, P. (2014)
      A small perturbation method is developed and employed to construct frames with compactly supported elements of small shrinking support for Besov and Triebel-Lizorkin spaces in the general setting of a doubling metric measure ...
    • Article  

      Decomposition systems for function spaces 

      Kyriazis, George C. (2003)
      Let Θ := {θIe : e ∈ E, I ∈ D} be a decomposition system for L2(ℝd) indexed over D, the set of dyadic cubes in ℝd, and a finite set E, and let θ̃ := {θ̃Ie : e ∈ E, I ∈ D} be the corresponding dual functionals. That is, for ...
    • Article  

      Jacobi decomposition of weighted Triebel-Lizorkin and Besov spaces 

      Kyriazis, George C.; Petrushev, P.; Xu, Y. (2008)
      The Littlewood-Paley theory is extended to weighted spaces of distributions on [-1,1] with Jacobi weights w(t) = (1 - t)α(1+t) β. Almost exponentially localized polynomial elements (needlets) {ρξ}, {ψξ} are constructed ...