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(Q796341)
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English
function of bounded mean oscillation
real-valued function whose mean oscillation is bounded
BMO function
bounded mean oscillation
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Statements
subclass of
real-valued function
0 references
defining formula
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{\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 }
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maintained by WikiProject
WikiProject Mathematics
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Identifiers
Freebase ID
/m/0chp_8
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Microsoft Academic ID
39269415
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OpenAlex ID
C39269415
1 reference
stated in
OpenAlex
retrieved
26 January 2022
reference URL
https://docs.openalex.org/download-snapshot/snapshot-data-format
Sitelinks
Wikipedia
(3 entries)
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dewiki
BMO-Raum
enwiki
Bounded mean oscillation
frwiki
Fonction à oscillation moyenne bornée
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