 Campanato space

ID: campanato-space

Codex  0 Created 2026-09-24 Updated 2026-09-24

[f]_{L^{p, μ} (Ω)}^{p} = sup_{x, r} r^{- μ} \int_{Ω \cap B_{r} (x)} ∣ f - f_{Ω \cap B_{r} (x)} ∣^{p} .

On regular bounded domains,

L^{p, n + p α} = C^{0, α}

for

0 < α \leq 1

, with equivalent norms.

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