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Feb 8, 2023 at 22:17 comment added Giorgio Metafune I checked, it works. It is very nice that the inequality improves in case of multiple intersections. By the way, I discovered (asking!) a trivial 2 dimensional example. Take a function which is $L^1$ (locally) and no more and think at is as a funcion of 2 variables. It satisfies the estimate with $Cr$ (in 2 d) but it is no more than $L^1$.
Feb 8, 2023 at 17:52 comment added Giorgio Metafune Thank you, I will ready it carefully.
Feb 8, 2023 at 17:24 history edited Willie Wong CC BY-SA 4.0
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Feb 8, 2023 at 17:15 history edited Willie Wong CC BY-SA 4.0
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Feb 8, 2023 at 15:49 comment added Adi Thank you very much for this explanation, this is very helpful.
Feb 8, 2023 at 15:48 vote accept Adi
Feb 7, 2023 at 21:40 history undeleted Willie Wong
Feb 7, 2023 at 19:16 history deleted Willie Wong via Vote
Feb 6, 2023 at 21:22 vote accept Adi
Feb 6, 2023 at 21:22
Feb 6, 2023 at 21:11 history answered Willie Wong CC BY-SA 4.0