Sökning: "weighted L2-space"

Hittade 3 avhandlingar innehållade orden weighted L2-space.

  1. 1. Sharp Bounds for Calderón-Zygmund Operators in a Vector-Valued Setting

    Författare :Andrei Stoica; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Calderón-Zygmund operator; martingale transform; Bellman function; dyadic Haar shift; UMD space; matrix A2 weight; weighted L2-space; Carleson embedding theorem;

    Sammanfattning : In this thesis we extend several classical results about Calderón-Zygmund operators to spaces of vector-valued functions. We first obtain bounds for the norm of dyadic Haar shift operators using a Bellman function technique, and then apply the representation theorem to obtain corresponding results for general Calderón-Zygmund operators. LÄS MER

  3. 2. Reconstruction of flow and temperature from boundary data

    Författare :Tomas Johansson; Vladimir Kozlov; George Bastay (Baravdish); Jürgen Rossmann; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Partiella differentialekvationer; Operatorteori;

    Sammanfattning : In this thesis, we study Cauchy problems for elliptic and parabolic equations. These include the stationary Stokes system and the heat equation. Data are given on a part of the boundary of a bounded domain. The aim is to reconstruct the solution from these data. LÄS MER

  4. 3. Interpolation of Hilbert spaces

    Författare :Yacin Ameur; Frank Hansen; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Interpolation; Hilbert space; K-functional; K-monotonicity; Calderon couple; Pick function; matrix monotone function; K_2-functional; Löwner s and Donoghue s theorems.; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Sammanfattning : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). LÄS MER