The Coarea Formula for Sobolev Mappings
نویسندگان
چکیده
We extend Federer’s coarea formula to mappings f belonging to the Sobolev class W (R;R), 1 ≤ m < n, p > m, and more generally, to mappings with gradient in the Lorentz space L(R). This is accomplished by showing that the graph of f in R is a Hausdorff n-rectifiable set.
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