quasihyperbolicとは 意味・読み方・使い方

形容詞

quasihyperbolic (not comparable)

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   • 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 ${\displaystyle \Omega \subset \mathbb {R} ^{n}}$ which is Gromov hyperbolic with respect to the quasihyperbolic metric, especially when ${\displaystyle \Omega }$ is a finitely connected planar domain, the Sobolev space ${\displaystyle W^{1,\,\infty }(\Omega )}$ is dense in ${\displaystyle W^{1,\,p}(\Omega )}$ for any ${\displaystyle 1\leq p<\infty }$.