quasihyperbolic en · ADJ
Etymology
From quasi- + hyperbolic.
Meanings
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(empty-gloss, no-gloss, not-comparable) (mathematics)
We prove that for a bounded domain #92;Omega#92;subset#92;mathbbRⁿ which is Gromov hyperbolic with respect to the quasihyperbolic metric, especially when #92;Omega is a finitely connected planar domain, the Sobolev space W#123;1,#92;,#92;infty#125;(#92;Omega) is dense in W#123;1,#92;,p#125;(#92;Omega) for any 1#92;leplt;#92;infty.
2016, Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang, “A density problem for Sobolev spaces on Gromov hyperbolic domains”, in arXiv: