• 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 ...