Timeline for Convergence in Lebesgue measure
Current License: CC BY-SA 3.0
6 events
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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 |