I want to show that for 0 < µ < ß ≤ 1,
[f]µ ≤ 2 sup|f|1 - µ/ß [f]ßµ/ß
where [f]µ := supx≠y |f(y) - f(x)|/|y-x|µ
I don't know how to proceed with this question. Any help would be welcome!
2026-03-29 02:34:52.1774751692
Proving an interpolation inequality on Holder Space
184 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REAL-ANALYSIS
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