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Mar 15, 2020 at 17:34 comment added user153086 Thank you for this hint. Indeed, the doubling condition came up at some point. I am interested in Hölderian type regularity result.
Mar 15, 2020 at 15:43 comment added Giorgio Metafune If you assume that new neasure $L'$ (or $\sigma$) is doubling, you can use harmonic analysis on homogenuous spaces. But I do not know if this is the case of interest to you.
Mar 15, 2020 at 14:37 history edited YCor CC BY-SA 4.0
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S Mar 15, 2020 at 14:12 history suggested RobPratt
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Mar 15, 2020 at 13:47 review Suggested edits
S Mar 15, 2020 at 14:12
Mar 15, 2020 at 12:04 history asked user153086 CC BY-SA 4.0