C1 Measure Respecting Maps Preserve BV Iff they have Bounded
Ferruccio Colombini, Tao Luo and Jeffrey Rauch
If Ωj ∈ Rd are bounded open subsets and
Φ ∈ C1(Ω1; Ω2) respects
Lebesgue measure and satisfies F o Φ ∈ BV(Ω1) for all
F ∈ BV(Ω2) then Φ is uniformly Lipshitzean.
- Available as PDF (136 Kbytes).
- Ferruccio Colombini,
- Tao Luo,
- Jeffrey Rauch,
- Publishing information:
- Submitted by:
April 21 2004.
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Last modified: Thu Apr 22 09:55:06 MEST 2004