Search for dissertations about: "absolute continuity"

Showing result 1 - 5 of 9 swedish dissertations containing the words absolute continuity.

  1. 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

  2. 2. Topics in multifractal measures, nonparametrics and biostatistics

    Author : Attila Frigyesi; Anestesiologi och intensivvård; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; confidence interval; mixed effects; Statistics; operations research; programming; actuarial mathematics; Statistik; operationsanalys; programmering; aktuariematematik; operational model of pharmacological agonism; concentration-response curves; dose-response curves; ventilation perfusion scintigraphy; V Q-scan; pulmonary embolism; automated method; box counting; correlation dimension; Hentschel-Procaccia dimension; Rényi dimension; generalized dimensions; fractal dimension estimation; dimension spectrum; multifractal measures; kernel density estimates; absolute continuity; singular distribution functions;

    Abstract : This thesis consists of four papers. The first two papers, which comprise the main part of the thesis, deal with an unexpected connection between kernel density estimators and dimension spectra for multifractal measures. READ MORE

  3. 3. Viana maps and limit distributions of sums of point measures

    Author : Daniel Schnellmann; Michael Benedicks; Masato Tsujii; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Viana maps; absolutely continuous invariant measures; skew-products; quadratic maps; Bernoulli convolutions; absolute continuity; typical points; equidistributed sequences; uniformly distibuted sequences; Mathematical analysis; Analys;

    Abstract : .... READ MORE

  4. 4. "En Minerva för vår Nord" : Lovisa Ulrika som samlare, uppdragsgivare och byggherre : [queen Lovisa Ulrika, her collections and commissions of art and architecture]

    Author : Merit Laine; Uppsala universitet; []
    Keywords : HUMANIORA; HUMANITIES; Art history; Drottningholm; Fredrikshov; Svartsjö; Lovisa Ulrika; Adolf Fredrik; Carl GustafTessin; Patronage; Collecting; Architectural History; Garden History; Chinoiserie; Portraiture; Age of Liberty; Konstvetenskap; Art; Konstvetenskap; historia; History;

    Abstract : Lovisa Ulrika's activities within the fields of art and architecture comprised extensive collectingand interior decoration, buildings and gardens at the Royal Palaces of Drottningholm, Svartsjö andFredrikshov. These are described in some detail in this study, but the main purpose is to establishher intentions and how she perceived her role as a builder, collector and patron of the arts. READ MORE

  5. 5. Newtonian Spaces Based on Quasi-Banach Function Lattices

    Author : Lukáš Malý; Anders Björn; Jana Björn; Tomas Sjödin; Pekka Koskela; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Newtonian space; upper gradient; weak upper gradient; Banach function lattice; quasi-normed space; metric measure space;

    Abstract : The traditional first-order analysis in Euclidean spaces relies on the Sobolev spaces W1,p(Ω), where Ω ⊂ Rn is open and p ∈ [1, ∞].The Sobolev norm is then defined as the sum of Lp norms of a function and its distributional gradient.We generalize the notion of Sobolev spaces in two different ways. READ MORE