Quasihyperbolic
adj ·Rare ·Advanced level
Definitions
- 1 (mathematics) empty-gloss, no-gloss, not-comparable
"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."
Example
More examples"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."
Etymology
From quasi- + hyperbolic.
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