Trace constants for sets near the ball can approach the ball's value despite infinitely disconnected complements, enabling a John-type characterization of domains supporting trace inequalities under ball separation.
Schmidt,Beweis der isoperimetrischen Eigenschaft der Kugel im hyperbolischen und sph¨ arischen Raum jeder Dimensionszahl
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Geometric properties of Euclidean domains supporting trace inequalities
Trace constants for sets near the ball can approach the ball's value despite infinitely disconnected complements, enabling a John-type characterization of domains supporting trace inequalities under ball separation.