An embedding relation for bounded mean oscillation on rectangles

• Autorzy: Benoît F. Sehba
• Języki publikacji: EN

Abstrakty

EN

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 $bmo(𝕋^{N})$ of functions of bounded mean oscillation is a strict subspace of the mean little BMO.

Kategorie tematyczne

• 42B15: Multipliers
• 42B35: Function spaces arising in harmonic analysis
• 32A37: Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 112
• Numer: 3
• Strony: 287-299

Daty

wydano

2014

Twórcy

autor

Benoît F. Sehba

• Département de Mathématiques, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun

Identyfikatory

DOI

10.4064/ap112-3-6