function of bounded mean oscillation (Q796341)
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real-valued function whose mean oscillation is bounded
- BMO function
- bounded mean oscillation
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | function of bounded mean oscillation |
real-valued function whose mean oscillation is bounded |
|
Statements
![{\displaystyle \sup _{a_{1},b_{1},\dotsc ,a_{n},b_{n}}{\frac {1}{(b_{1}-a_{1})\dotsm (b_{n}-a_{n})}}\int _{[a_{1},b_{1}]\times \dotsm \times [a_{n},b_{n}]}\left|f(x)-{\frac {1}{(b_{1}-a_{1})\dotsm (b_{n}-a_{n})}}\int _{[a_{1},b_{1}]\times \dotsm \times [a_{n},b_{n}]}f(y)\,\mathrm {d} ^{n}y\right|\,\mathrm {d} ^{n}x<\infty }](https://wikimedia.org/api/rest_v1/media/math/render/svg/43114b2784e3a36dc5f784f28b1c60d41b21d522)
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Identifiers
1 reference
Sitelinks
Wikipedia(3 entries)
- dewiki BMO-Raum
- enwiki Bounded mean oscillation
- frwiki Fonction à oscillation moyenne bornée