Difference between revisions of "Jets7.2 OldKiwi" - Rhea

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-The general proof of the pb 7.2 (a) is in page 126 Wheeden and Zygmund.
-The proof shows that for every finite measure space, <math> ||f||_{n} \arrow ||f||_{\infty}</math>.
-For (b),
-<math> lim_{n \arrow \infty} \frac{int_{X}|f|^{n+1}d \mu}{int_{X}|f|^{n}d\mu} = lim_{n \arrow \infty} \frac{||f||_{n+1}^{n+1}}{||f||_{n}^{n}}=lim_{n \arrow \infty} (\frac{||f||_{n+1}}{||f||_{n}})^{n}||f||_{n+1}=||f||_{\infty}</math>

Revision as of 13:57, 11 July 2008