• Quasihyperbolic

    Origin

    - + quasi + hyperbolic

    Full definition of quasihyperbolic

    Adjective

    quasihyperbolic

    1. (maths)
      • 2016, , Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang, A density problem for Sobolev spaces on Gromov hyperbolic domains, We prove that for a bounded domain \Omega\subset \mathbb R^n which is Gromov hyperbolic with respect to the quasihyperbolic metric, especially when \Omega is a finitely connected planar domain, the Sobolev space W^{1,\,\infty}(\Omega) is dense in W^{1,\,p}(\Omega) for any 1\le p<\infty.
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