On the Radon–Nikodym Theorem

George Koumoullis · American Mathematical Monthly · 2008

(|f | 2)x, and K(x, t) = ^((1 + t)f(x) (1 *)/(-*)). The map K is an odd map. It is continuous and compact if / is. We have N(K) n S x (? 1, 1) = 0, since l|?(*,OII V. Analyzing Su's definition (for brevity these straightforward calculations are omitted) one obtains:

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