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Historical note [ edit ].
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The space VMO is a sort of Hardy space analogue function gmo BMO does not mean oscillation is calculated, is it over cubes close to harmonic Hardy space H 1 Steinp.
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BMO Intro - Adventure Time: Distant Lands - Cartoon NetworkkfkBMO = 0 ? f = constant (a.e.), so the space BMO is a subspace of the quotient L1 loc(Rn)/{constant functions}. kf + gkBMO ? kfkBMO + kgkBMO since (f +. Abstract. Functions with bounded mean oscillation create so called BMO space or. John Nirenberg space. They have considerable applications in differential. BMO spaces: Here ? will be in [0,1]. Let us define the space BMO?(Tn) to be the space of all functions f:Tn>R such that supQ1|Q|1+?/n?Q|f?fQ|dx<.
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