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Timeline for Domains of type (A) are Lipschitz?

Current License: CC BY-SA 4.0

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Aug 23 at 5:09 vote accept Bogdan
Aug 22 at 21:20 answer added Iosif Pinelis timeline score: 1
Aug 22 at 17:30 comment added Bogdan Thank you very much! What a nice result!
Aug 22 at 17:14 comment added Hannes @Bogdan See also this question
Aug 22 at 16:42 history edited Bogdan CC BY-SA 4.0
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Aug 22 at 11:35 answer added Iosif Pinelis timeline score: 1
Aug 22 at 9:57 comment added mlk The second condition is actually kind of a complement of the first. (A) effectively says that the density at the boundary is bounded away from 1 and the other that it is bounded away from 0. If you replace $\Omega$ with its complement, you turn one into the other. And both hold rather obviously for Lipschitz domains, as can be shown by looking at a local graph.
Aug 22 at 5:15 history edited Daniele Tampieri CC BY-SA 4.0
Minor formatting
Aug 22 at 3:41 history asked Bogdan CC BY-SA 4.0