Browsing by Subject "Unconditional bases"

Now showing items 1-3 of 3

    • 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  

      Multilevel characterizations of anisotropic function spaces 

      Kyriazis, George C. (2005)
      We present a general method for extending decomposition systems of L 2(ℝd) to decomposition systems for the anisotropic Triebel-Lizorkin and Besov spaces, Fp,qα,s and Bp,qα,s, respectively, for the full range of the indexes. ...
    • Article  

      New bases for Triebel-Lizorkin and Besov spaces 

      Kyriazis, George C.; Petrushev, P. (2002)
      We give a new method for construction of unconditional bases for general classes of Triebel-Lizorkin and Besov spaces. These include the Lp, Hp, potential, and Sobolev spaces. The main feature of our method is that the ...