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In harmonic analysis in mathematics, a function of bounded mean oscillation, also known as a BMO function, is a real-valued function whose mean oscillation is bounded (finite). The space of functions of bounded mean oscillation (BMO), is a function space that, in some precise sense, plays the same role in the theory of Hardy spaces Hp that the space L∞ of essentially bounded functions plays in the theory of Lp-spaces: it is also called John–Nirenberg space, after Fritz John and Louis Nirenberg who introduced and studied it for the first time.

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  • BMO-Raum (de)
  • Bounded mean oscillation (en)
  • Fonction à oscillation moyenne bornée (fr)
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  • In harmonic analysis in mathematics, a function of bounded mean oscillation, also known as a BMO function, is a real-valued function whose mean oscillation is bounded (finite). The space of functions of bounded mean oscillation (BMO), is a function space that, in some precise sense, plays the same role in the theory of Hardy spaces Hp that the space L∞ of essentially bounded functions plays in the theory of Lp-spaces: it is also called John–Nirenberg space, after Fritz John and Louis Nirenberg who introduced and studied it for the first time. (en)
  • Der BMO-Raum ist ein Objekt aus der harmonischen Analysis, einem Teilgebiet der Mathematik. Die Abkürzung BMO steht für „bounded mean oscillation“. Der Funktionenraum BMO wurde 1961 von Fritz John und Louis Nirenberg eingeführt. Dieser Raum ist ein Dualraum zum reellen Hardy-Raum (Charles Fefferman, Elias Stein 1972). (de)
  • L'ensemble des fonctions à oscillations moyennes bornées, usuellement noté de l'anglais « bounded mean oscillation », est un espace de fonctions utilisé en analyse harmonique. Il a été introduit par Fritz John et Louis Nirenberg pour résoudre des problèmes d'équations aux dérivées partielles. (fr)
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