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Miklós Schweitzer
2019 Miklós Schweitzer
8
8
Part of
2019 Miklós Schweitzer
Problems
(1)
f(x+t) - f(x) is locally integrable for all t
Source: Miklós Schweitzer 2019, Problem 8
12/27/2019
Let
f
:
R
→
R
f: \mathbb{R} \to \mathbb{R}
f
:
R
→
R
be a measurable function such that
f
(
x
+
t
)
−
f
(
x
)
f(x+t) - f(x)
f
(
x
+
t
)
−
f
(
x
)
is locally integrable for every
t
t
t
as a function of
x
x
x
. Prove that
f
f
f
is locally integrable.
real analysis
college contests
Miklos Schweitzer