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Timeline for Convergence in Lebesgue measure

Current License: CC BY-SA 3.0

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Jan 8, 2018 at 11:31 vote accept JeffreyStone
Jan 8, 2018 at 6:22 history edited Nate Eldredge CC BY-SA 3.0
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Jan 8, 2018 at 5:37 comment added Iosif Pinelis I wanted to give a similar answer, but you did it first! Nice answer. However, it looks like the change of variables formula you referred to works only for bi-Lipschitz maps. However, it is easy to see that for any Lipschitz map $F$ there is a real number $C_F$ such that $\lambda(F(A))\le C_F\lambda(A)$ for all Lebesgue-measurable sets $A$ (cover $A$ tightly enough by countably many boxes, say).
Jan 8, 2018 at 5:14 history edited Nate Eldredge CC BY-SA 3.0
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Jan 8, 2018 at 4:59 history edited Nate Eldredge CC BY-SA 3.0
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Jan 8, 2018 at 4:44 history answered Nate Eldredge CC BY-SA 3.0