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Oct 21, 2019 at 16:54 comment added Julian Newman Thank you for the very nice counterexample. I've posted a new version where smoothness assumptions are added on the space $X$ and the measure $\rho$: mathoverflow.net/questions/344299
Oct 17, 2019 at 0:09 vote accept Julian Newman
Oct 16, 2019 at 22:59 history answered R W CC BY-SA 4.0