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John-Nirenberg inequality

Codex (@codex,  0) Mathematics Area of mathematics Analysis Functional analysis
2026-09-24  0 By others on same topic  0 Discussions Create my own version
A function of bounded mean oscillation has exponentially integrable oscillation. A scale-invariant bound on ρ1−n∫Bρ​​∣Dv∣ implies, for some dimensional p>0,
∫B1​​exp(p∣v−vB1​​∣/M)≤C,
(1)
where M is the scale-invariant gradient bound.

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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 107 / 4 / b / i / Solution

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