Search for dissertations about: "Hardy space"

Showing result 1 - 5 of 17 swedish dissertations containing the words Hardy space.

  1. 1. The Weighted Space Odyssey

    University dissertation from Karlstad : Karlstads universitet

    Author : Martin Křepela; Sorina Barza; Gord Sinnamon; [2017]
    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

  2. 2. Improved Lp Hardy Inequalities

    University dissertation from Stockholm : Matematiska institutionen

    Author : Jesper Tidblom; Ari Laptev; Andrzej Szulkin; Achilles Tertikas; [2005]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; Hardy inequality; MATHEMATICS; MATEMATIK;

    Abstract : 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. READ MORE

  3. 3. Harmonic measures

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Jonatan Vasilis; Göteborgs universitet.; Gothenburg University.; [2010]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; harmonic measure; square root of the Poisson kernel; Hardy space; p-Laplace operator; random walk; regular tree; discrete minimal thinness; Hardy space; regular tree; square root of the Poisson kernel; random walk; discrete minimal thinness; p-Laplace operator;

    Abstract : This thesis uses both analytic and probabilistic methods to study continuous and discrete problems. The main areas of study are the asymptotic properties of p-harmonic measure, and various aspects of the square root of the Poisson kernel.Fix a domain and a boundary point, subject to certain regularity conditions. READ MORE

  4. 4. Multipoint Padé approximants used for piecewise rational interpolation and for interpolation to functions of Stieltjes' type

    University dissertation from Göteborg : Chalmers University of Technology

    Author : Jan Gelfgren; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Continued fractions; Hardy space; Padé approximant; series of Stieltjes;

    Abstract : A multipoint Padë approximant, R, to a function of Stieltjes1 type is determined.The function R has numerator of degree n-l and denominator of degree n.The 2n interpolation points must belong to the region where f is analytic,and if one non-real point is amongst the interpolation points its complex-conjugated point must too. READ MORE

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

    University dissertation from Narvik : UiT The Arctic University of Norway

    Author : Staffan Lundberg; [2018]
    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