Sökning: "Hardy inequality"

Visar resultat 1 - 5 av 25 avhandlingar innehållade orden Hardy inequality.

  1. 1. Some New Contributions in the Theory of Hardy Type Inequalities

    Författare :Markos Fisseha Yimer; Sorina Barza; Lars-Erik Persson; Martin Lind; Liviu-Gabriel Marcoci; Lubos Pick; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; integral inequalities; Hardy-type inequalities; Pólya-Knopp’s inequality; Jensen’s inequality; Minkowski’s inequality; Beckenbach-Dresher’s inequality; sharp constants; measures; superquadratic functions; refinements; Banach function spaces; Matematik; Mathematics;

    Sammanfattning : In this thesis we derive various generalizations and refinements of some classical inequalities in different function spaces. We consider some of the most important inequalities namely the Hardy, Pólya-Knopp, Jensen, Minkowski and Beckenbach-Dresher inequalities. The main focus is put on the Hardy and their limit Pólya-Knopp inequalities. LÄS MER

  3. 2. Improved Lp Hardy Inequalities

    Författare :Jesper Tidblom; Ari Laptev; Andrzej Szulkin; Achilles Tertikas; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; Hardy inequality; MATHEMATICS; MATEMATIK;

    Sammanfattning : Paper 1 : A geometrical version of Hardy's inequality for W_0^{1,p}(D).The aim of this article is to prove a Hardy-type inequality, concerning functions in W_0^{1,p}(D) for some domain D in R^n, involving the volume of D and the distance to the boundary of D. The inequality is a generalization of a previously proved inequality by M. and T. LÄS MER

  4. 3. The Weighted Space Odyssey

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

    Sammanfattning : 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. LÄS MER

  5. 4. Hardy and Carleman type inequalities

    Författare :Maria Johansson; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This thesis deals with various generalizations of the inequalities by Carleman, Hardy and Pólya-Knopp. In Chapter 1 we give an introduction and overview of the area that serves as a frame for the rest of the thesis. LÄS MER

  7. 5. Weight characterizations of Hardy and Carleman type inequalities

    Författare :Christopher Okpoti; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : This PhD thesis deals with some generalizations of the Hardy and Carleman type inequalities and the relations between them. In Chapter 1 we give an introduction and overview of the area that serves as a frame for the rest of the thesis. LÄS MER