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Campanato iteration lemma
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Mathematics
Area of mathematics
Analysis
Functional analysis
Sobolev space
Campanato space
Created
2026-09-24
Updated
2026-09-24
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If
a
nondecreasing
oscillation
quantity
satisfies
Φ
(
ρ
)
≤
A
(
ρ
/
R
)
γ
Φ
(
R
)
+
B
R
β
(1)
for
0
<
ρ
≤
R
, with
γ
>
β
, then
iteration
gives
Φ
(
ρ
)
≤
C
(
ρ
/
R
)
β
Φ
(
R
)
+
CB
ρ
β
.
Ancestors
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Campanato space
Sobolev space
Functional analysis
Analysis
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 107
/
3
/
b
/
Solution
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