quasihyperbolic

English

Etymology

From quasi- +‎ hyperbolic.

Adjective

quasihyperbolic (not comparable)

1. (mathematics) This term needs a definition. Please help out and add a definition, then remove the text {{rfdef}}.
   • 2016, Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang, “A density problem for Sobolev spaces on Gromov hyperbolic domains”, in arXiv‎^[1]:

     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 $1\leq p<\infty$.