Geodesic
An embedding relation for bounded mean oscillation on rectangles
Benoît F. Sehba1
1 Département de Mathématiques Faculté des Sciences Université de Yaoundé I B.P. 812, Yaoundé, Cameroun
Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 287-299 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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In the two-parameter setting, we say a function belongs to the mean little BMO if its mean over any interval and with respect to any of the two variables has uniformly bounded mean oscillation. This space has been recently introduced by S. Pott and the present author in relation to the multiplier algebra of the product BMO of Chang–Fefferman. We prove that the Cotlar–Sadosky space ${\rm bmo}(\mathbb {T}^N)$ of functions of bounded mean oscillation is a strict subspace of the mean little BMO.
DOI : 10.4064/ap112-3-6
Keywords: two parameter setting say function belongs mean little bmo its mean interval respect variables has uniformly bounded mean oscillation space has recently introduced nbsp pott present author relation multiplier algebra product bmo chang fefferman prove cotlar sadosky space bmo mathbb functions bounded mean oscillation strict subspace mean little bmo

Benoît F. Sehba 1

1 Département de Mathématiques Faculté des Sciences Université de Yaoundé I B.P. 812, Yaoundé, Cameroun 
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Benoît F. Sehba. An embedding relation for bounded mean oscillation on rectangles. Annales Polonici Mathematici, Tome 112 (2014) no. 3, pp. 287-299. doi: 10.4064/ap112-3-6

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