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Nov 4, 2022 at 12:27 comment added Behnam Esmayli Theorem 7.16 in the coarea inequality (B. Esmayli, P. Hajlasz) arxiv.org/pdf/2006.00419.pdf has an inequality with a non-integer exponents. Might be of interest.
Mar 29, 2020 at 3:08 comment added Behnam Esmayli BTW, is there a reference for the abstract viewpoint to the (co)area formula stated in the post? It is an interesting and easy fact but I have not seen it anywhere. A book or paper name will suffice. Thanks.
Mar 5, 2020 at 15:57 history edited Behnam Esmayli CC BY-SA 4.0
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Mar 5, 2020 at 15:53 comment added Behnam Esmayli Right. One side is Euclidean and hence of integer dimension.
Mar 5, 2020 at 12:10 comment added Johannes Hahn Thank you for your detailed answer. It is really helpful to see. As far as I can see none of these generalisations of the (co)area formula involve fractional Hausdorff dimensions, right?
Mar 5, 2020 at 4:41 history answered Behnam Esmayli CC BY-SA 4.0