Search for dissertations about: "weighted function space"

Showing result 1 - 5 of 31 swedish dissertations containing the words weighted function space.

2. 1. The Weighted Space Odyssey

   Author : Martin Křepela; Sorina Barza; Gord Sinnamon; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral operators; supremal operators; weights; weighted function spaces; Lorentz spaces; Lebesgue spaces; convolution; Hardy inequality; multilinear operators; nonincreasing rearrangement; Matematik; Mathematics;

   Abstract : The common topic of this thesis is boundedness of integral and supremal operators between weighted function spaces.The first type of results are characterizations of boundedness of a convolution-type operator between general weighted Lorentz spaces. READ MORE

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

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

   Abstract : 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. READ MORE

5. 3. Invariant Subspaces in Spaces of Analytic Functions

   Author : Ali Abkar; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; functional analysis; Series; Fourier analysis; weighted Bergman space.; super-biharmonic function; quasi-Banach space of analytic functions; index; multiplier module homomorphism; multiplier; Banach space of analytic functions; hyperinvariant subspace; Serier; fourieranalys; funktionsanalys;

   Abstract : Let D be a finitely connected bounded domain with smooth boundary in the complex plane. We first study Banach spaces of analytic functions on D . The main result is a theorem which converts the study of hyperinvariant subspaces on multiply connected domains into the study of hyperinvariant subspaces on domains with fewer holes. READ MORE

6. 4. Interpolation of Hilbert spaces

   Author : Yacin Ameur; Frank Hansen; Uppsala universitet; []
   Keywords : 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;

   Abstract : (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). READ MORE

7. 5. Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs

   Author : Staffan Lundberg; Norway Narvik UiT The Arctic University of Norway Department of Computer Science and Computational Engineering Faculty of Science and Technology; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Operators; Hardy Operators; Potential Operators; Singular Operators; Function Spaces; Morrey Spaces; H¨older Spaces; Partial Differential Equations; Inequalities; Hardy Type Inequalities; Weights; Applications; Matematik; Mathematics;

   Abstract : The study in this PhD thesis aims at development of certain mathematical methods used in applications, in particular, in the study of regularity properties of solutions in various mathematical models described by Partial Differential Equations (PDEs). To this end, we study various operators of harmonic analysis in certain function spaces, since solutions to many PDEs may be expressed in terms of such operators. READ MORE