Browsing by Subject "Poincare inequality"

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  • Marola, Niko; Miranda, Michele; Shanmugalingam, Nageswari (2016)
    The overarching goal of this paper is to link the notion of sets of finite perimeter (a concept associated with N (1,1)-spaces) and the theory of heat semigroups (a concept related to N (1,2)-spaces) in the setting of metric measure spaces whose measure is doubling and supports a 1-Poincar, inequality. We prove a characterization of sets of finite perimeter in terms of a short time behavior of the heat semigroup in such metric spaces. We also give a new characterization of BV functions in terms of a near-diagonal energy in this general setting.
  • Harjulehto, Petteri; Hurri-Syrjänen, Ritva (2019)
    We study Sobolev functions defined in unbounded irregular domains in the Euclidean n-space. We show that there exist embeddings into suitable Orlicz spaces from the space L-p(1), 1
  • Harjulehto, Petteri; Hurri-Syrjanen, Ritva; Kapulainen, Juha; Rogovin, Sari (2021)
    We study properties of bounded domains when the domains satisfy a generalized quasihyperbolic growth condition.