Sökning: "Calderón-Zygmund operator"

Hittade 3 avhandlingar innehållade orden Calderón-Zygmund operator.

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. Maximal theorems and Calderón-Zygmund type decompositions forthe fractional maximal function

   Författare :Evgeny Kuznetsov; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : A very significant role in the estimation of different operators in analysis is played by the Hardy-Littlewood maximal function. There are a lot of papers dedicated to the study of properties of it, its variants, and their applications. LÄS MER

4. 3. Singular Integrals and Convolution Sets

   Författare :Reimond Emanuelsson; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Weak L^1; quasi-norm; Convolution set; BMO; Singular Integral Operator; Standard kernel; Calderón-Zygmund decomposition; weak boundedness property; the T1-Theorem.; Weak L^1;

   Sammanfattning : .... LÄS MER