Search for dissertations about: "function spaces"

Showing result 1 - 5 of 137 swedish dissertations containing the words function spaces.

  2. 1. Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces

    Author : Lukáš Malý; Anders Björn; Jana Björn; Tomas Sjödin; Andrea Cianchi; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Newtonian space; Sobolev-type space; metric measure space; upper gradient; Sobolev capacity; Banach function lattice; quasi-normed space; rearrangement-invariant space; maximal operator; Lipschitz function; regularization; weak boundedness; density of Lipschitz functions; quasi-continuity; continuity; doubling measure; Poincaré inequality;

    Abstract : This thesis consists of four papers and focuses on function spaces related to first-order analysis in abstract metric measure spaces. The classical (i.e., Sobolev) theory in Euclidean spaces makes use of summability of distributional gradients, whose definition depends on the linear structure of Rn. READ MORE

  4. 2. Characterisations of function spaces on fractals

    Author : Mats Bodin; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; function spaces; wavelets; bases; fractals; triangulations; iterated function systems; MATHEMATICS; MATEMATIK;

    Abstract : This thesis consists of three papers, all of them on the topic of function spaces on fractals.The papers summarised in this thesis are:Paper I Mats Bodin, Wavelets and function spaces on Mauldin-Williams fractals, Research Report in Mathematics No. 7, Umeå University, 2005. READ MORE

  5. 3. 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

  6. 4. Asymptotic Problems on Homogeneous Spaces

    Author : Anders Södergren; Andreas Strömbergsson; Dennis Hejhal; Jens Marklof; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Analysis on homogeneous spaces; hyperbolic manifolds; spectral theory; equidistribution; the space of lattices; length statistics; Poisson process; moments; Epstein zeta function; value distribution; height function.; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : This PhD thesis consists of a summary and five papers which all deal with asymptotic problems on certain homogeneous spaces. In Paper I we prove asymptotic equidistribution results for pieces of large closed horospheres in cofinite hyperbolic manifolds of arbitrary dimension. READ MORE

  7. 5. Interpolation of Hilbert spaces

    Author : Yacin Ameur; Frank Hansen; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Interpolation; Hilbert space; K-functional; K-monotonicity; Calderon couple; Pick function; matrix monotone function; K_2-functional; Löwner s and Donoghue s theorems.; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Abstract : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). READ MORE