Timeline for Radon-Nikodym derivatives as limits of ratios
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 20, 2018 at 10:45 | answer | added | pietro siorpaes | timeline score: 5 | |
| May 10, 2014 at 23:25 | comment | added | Christian Remling | This is essentially a matter of making sure the standard proof of Lebesgue's differentiation theorem still goes through, and this pretty much boils down to having a covering lemma available. In your setting, you want to use Besicovich's covering lemma. (For too general sets $B_n$, you're in trouble already when $\mu_2=m$.) | |
| May 10, 2014 at 21:48 | history | edited | Neil Toronto | CC BY-SA 3.0 |
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| Jan 10, 2014 at 8:06 | comment | added | 7891user | This is a very delicate problem and there is a considersble literature on it. Differentiability with respect tto Lebesgue measure is dealt with in the Lebesgue differentiation theorem, closely related to the Lebesgue density throrem. Another case which has received some attention is differentiation with respect to Gaussian measre, say on Hilbert space (Preiss and Tišer). A good starting place would be the text of Mattila. | |
| Jan 10, 2014 at 4:15 | history | asked | Neil Toronto | CC BY-SA 3.0 |