Journal
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
Volume 22, Issue 3, Pages 1233-1240Publisher
SCUOLA NORMALE SUPERIORE
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- European Research Council (ERC) under the European Union [757254]
- European Research Council (ERC) [757254] Funding Source: European Research Council (ERC)
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The note demonstrates that for every measurable function on R-n, the set of points where the blowup exists and is not constant is (n-1)-rectifiable. In particular, for every u in L-loc(1)(R-n), the jump set J(u) is (n-1)-rectifiable.
In this note we show that for every measurable function on R-n the set of points where the blowup exists and is not constant is (n - 1)-rectifiable. In particular, for every u is an element of L-loc(1)(R-n) the jump set J(u) is (n - 1)-rectifiable.
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