Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Xu, Y."

Now showing items 1-3 of 3

    • Article  

      Decomposition of weighted Triebel-Lizorkin and Besov spaces on the ball 

      Kyriazis, George C.; Petrushev, P.; Xu, Y. (2008)
      Weighted Triebel-Lizorkin and Besov spaces on the unit ball Bd in d with weights wμ(x)=(1-x2)μ-1/2, μ≥0, are introduced and explored. A decomposition scheme is developed in terms of almost exponentially localized polynomial ...
    • 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 ...
    • Article  

      Open problems in constructive function theory 

      Baratchart, L.; Martínez-Finkelshtein, A.; Jimenez, D.; Lubinsky, D. S.; Mhaskar, H. N.; Pritsker, I.; Putinar, M.; Stylianopoulos, Nikos S.; Totik, V.; Varju, P.; Xu, Y. (2006)
      A number of open problems on constructive function theory are presented. These were submitted by participants of Constructive Function Theory Tech-04. Copyright © 2006, Kent State University.