Commit 2021-01-22 17:20 3250fc30
View on Github →feat(analysis/mean_inequalities, measure_theory/lp_space): extend mem_Lp.add to all p in ennreal (#5828)
Show (a ^ q + b ^ q) ^ (1/q) ≤ (a ^ p + b ^ p) ^ (1/p)
for a,b : ennreal
and 0 < p <= q
.
Use it to show that for p <= 1
, if measurable functions f
and g
are in Lp, f+g
is also in Lp (the case 1 <= p
is already done).