Sökning: "Hardy Inequalities"

Visar resultat 1 - 5 av 38 avhandlingar innehållade orden Hardy Inequalities.

  1. 1. 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

  3. 2. Spectral Inequalities and Their Applications in Quantum Mechanics

    Författare :Fabian Portmann; Ari Laptev; Robert Seiringer; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Spectral inequalities; quantum mechanics; Hardy inequalities; Sobolev inequalities; Lieb-Thirring inequalities; stability of matter; Bose gases; Bose-Einstein condensation; Mathematics; Matematik; Fysik; Physics;

    Sammanfattning : The work presented in this thesis revolves around spectral inequalities and their applications in quantum mechanics.In Paper A, the ground state energy of an atom confined to two dimensions is analyzed in the limit when the charge of the nucleus Z becomes very large. LÄS MER

  4. 3. Hardy-type inequalities in quantum calculus

    Författare :Serikbol Shaimardan; Peter Wall; Lars-Erik Persson; Lubos Pick; Luleå tekniska universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Sammanfattning : .... LÄS MER

  5. 4. 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

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

    Författare :Staffan Lundberg; Norway Narvik UiT The Arctic University of Norway Department of Computer Science and Computational Engineering Faculty of Science and Technology; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER