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Apr 13, 2017 at 12:19 history edited CommunityBot
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
Mar 17, 2017 at 22:54 comment added Henry.L Added, and will keep thinking over it :-)
Mar 17, 2017 at 22:53 history edited Henry.L CC BY-SA 3.0
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Mar 17, 2017 at 19:15 comment added Henry.L @TomekKania is correct in this case an arbitrary $h$ may fail to satisfy a (local) extension. After a discussion, we are still unable to claim how/whether such an extension will meet the requirement.
Mar 17, 2017 at 19:07 comment added Tomasz Kania Unfortunately any such extension $h$ is not enough, and therefore your answer does not provide a solution to the problem. I am saying this so that other people may try to attempt the problem from different angles.
Mar 16, 2017 at 12:43 history edited Henry.L CC BY-SA 3.0
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Mar 16, 2017 at 12:37 comment added Henry.L Because he is Fefferman :) I resent it! Sorry for the delay.
Mar 16, 2017 at 12:21 comment added Henry.L It is not a trivial task to verify the norm if we follow Fefferman's original construction, but in certain special situations like $f\cup g$ is a Sobolev function with $\omega$-continuity and regularities, I did try to approximate it using smoothing kernel quite a while ago. I have dropped you an email.
Mar 16, 2017 at 2:52 history edited Henry.L CC BY-SA 3.0
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Mar 15, 2017 at 23:45 history edited Henry.L CC BY-SA 3.0
add link
Mar 15, 2017 at 23:37 history edited Henry.L CC BY-SA 3.0
typo crt
Mar 15, 2017 at 23:25 history edited Henry.L CC BY-SA 3.0
added 112 characters in body
Mar 15, 2017 at 23:17 history answered Henry.L CC BY-SA 3.0