Search for dissertations about: "Poincaré inequality"

Found 2 swedish dissertations containing the words Poincaré inequality.

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

    University dissertation from Linköping : Linköping University Electronic Press

    Author : Lukáš Malý; Linköpings universitet.; Linköpings universitet.; [2014]
    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. A new development of Nikol'skii - Lizorkin and Hardy type inequalities with applications

    University dissertation from Luleå : Luleå tekniska universitet

    Author : Aigerim Kalybay; Luleå tekniska universitet.; [2006]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : This thesis consists of an introduction and five papers, which all deal with a new Sobolev type function space called the space with multiweighted derivatives. As basis for this space serves some differential operators containing weight functions. READ MORE