Search for dissertations about: "Morrey Spaces"

Found 5 swedish dissertations containing the words Morrey Spaces.

  2. 1. 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

  4. 2. Partial differential equations and systems related to Morrey spaces

    Author : Maria Alessandra Ragusa; Alexey Karapetyants; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This PhD thesis deals with the study of well posedness, existence and regularity properties of solutions of partial differential equations and systems. Preparatory to the study of partial differential equations is the action of some integral operators, that are extensively used. READ MORE

  5. 3. 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

  6. 4. Operators and Inequalities in various Function Spaces and their Applications

    Author : Evgeniya Burtseva; Natasha Samko; Lars-Erik Persson; Peter Wall; Alexey Karapetyants; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This Licentiate thesis is devoted to the study of mapping properties of different operators (Hardy type, singular and potential) between various function spaces.The main body of the thesis consists of five papers and an introduction, which puts these papers into a more general frame. READ MORE

  7. 5. Maximal theorems and Calderón-Zygmund type decompositions forthe fractional maximal function

    Author : Evgeny Kuznetsov; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : A very significant role in the estimation of different operators in analysis is played by the Hardy-Littlewood maximal function. There are a lot of papers dedicated to the study of properties of it, its variants, and their applications. READ MORE