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3 votes
1 answer
355 views

Hölder inequality between different Orlicz spaces

If we have a product of functions fg with fLr and gLs for some s,r>1 satisfying 1/r+1/s=1, then we know that fgL1. But if g is a little bit more than Ls, say $L^s \...
Dorian's user avatar
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2 votes
2 answers
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Elementary convexity example

I'm trying to check that certain examples of Young functions in the harmonic analysis literature are actually Young functions, and in doing so need to prove the following convexity-like inequality for ...
Joshua Isralowitz's user avatar