Search for dissertations about: "Lebesgue spaces"

Showing result 1 - 5 of 14 swedish dissertations containing the words Lebesgue spaces.

  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. Estimates for Hardy-type integral operators in weighted Lebesgue spaces

    Author : Larissa Arendarenko; Massimo Lanza de Cristoforis; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This PhD thesis deals with the theory of Hardy-type inequalities in a new situation, namely when the classical Hardy operator is replaced by a more general operator with a kernel. The kernels we consider belong to the new classes $\mathcal{O}^+_n$ and $\mathcal{O}^-_n$, $n=0,1,... READ MORE

  5. 3. Properties of wave-front sets and non-tangential convergence

    Author : Karoline Johansson; Joachim Toft; Luigi Rodino; Linnéuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Fourier Banach spaces; Generalized free time-dependent Schrödinger equation; Micro-local; Modulation spaces; Non-tangential convergence; Pseudo-differential operators; Regularity; Wave-front sets.; Mathematical analysis; Analys; Matematik; Mathematics;

    Abstract : In this thesis we consider regularity properties for solutions to partial differential equations and pseudo-differential equations. The thesis mainly concerns wave-front sets and micro-local properties. READ MORE

  6. 4. Inequalities for some classes of Hardy type operators and compactness in weighted Lebesgue spaces

    Author : Akbota Abylayeva; Peter Wall; Lars-Erik Persson; Ryskul Oinarov; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This PhD thesis is devoted to investigate weighted differential Hardy inequalities and Hardy-type inequalities with the kernel when the kernel has an integrable singularity, and also the additivity of the estimate of a Hardy type operator with a kernel.The thesis consists of seven papers (Papers 1, 2, 3, 4, 5, 6, 7) and an introduction where a review on the subject of the thesis is given. READ MORE

  7. 5. Boundedness of some linear operators in various function spaces

    Author : Evgeniya Burtseva; Lech Maligranda; Leszek Skrzypczak; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Applied Mathematics; Tillämpad matematik;

    Abstract : This PhD thesis is devoted to boundedness of some classical linear operators in various function spaces. We prove boundedness of weighted Hardy type operators and the weighted Riesz potential in Morrey—Orlicz spaces. Furthermore, we consider central Morrey—Orlicz spaces and prove boundedness of the Riesz potential in these spaces. READ MORE