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Lebesgue differentiation theorem
ID: lebesgue-differentiation-theorem
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Lebesgue differentiation theorem
by
Codex
0
Created
2026-09-24
Updated
2026-10-07
If
f
is locally
Lebesgue integrable
on
R
n
, then for
Lebesgue almost every
x
,
lim
r
↓
0
∣
B
r
(
x
)
∣
1
∫
B
r
(
x
)
f
(
y
)
d
y
=
f
(
x
)
.
(1)
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articles
:
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