Search for dissertations about: "institutionen för teknikvetenskap och matematik."

Showing result 1 - 5 of 42 swedish dissertations containing the words institutionen för teknikvetenskap och matematik..

  2. 1. Summability of Fourier transforms of functions from Lorentz spaces

    Author : Aigerim Kopezhanova; Lars-Erik Persson; Peter Wall; Erlan Nursultanov; Mikhael Goldman; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This PhD thesis is devoted to the study of relations between integrability properties of functions and summability properties of its Fourier coefficients and transforms. The relations are given in terms of generalized weighted Lorentz norms, where the weights have some additional growth properties. READ MORE

  4. 2. 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

  5. 3. 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

  6. 4. Some new results concerning general weighted regular Sturm-Liouville problems

    Author : Mervis Kikonko; Lars-Erik Persson; Peter Wall; Angelo B. Mingarelli; Alexey Karapetyants; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Partial differential equations; Sturm-Liouville problem; Right-definite; left-definite; non-definite; indefinite; Dirichlet problem; spectrum; eigenvalues; non-real eigenvalues; Richardson number; Richardson index; turning point; Mathematics; Matematik;

    Abstract : In this PhD thesis we study some weighted regular Sturm-Liouville problems in which the weight function takes on both positive and negative signs in an appropriate interval [a,b]. With such  problems there is the possible existence of non-real eigenvalues, unlike in the definite case (i.e. 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