The Distance in BMO to L ∞

1978/09/01 by John B. Garnett, Peter W. Jones · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Advanced Banach Space Theory #Mathematics #Geometry #Pure mathematics

paper · doi:10.2307/1971171

openalex publication_date 1978/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

(9dx T I -III XI~ is the mean of cp over I. Every bounded (measurable) function is in BMO and IIpII* 0 and x0 =x(s) such that (1.2) sup, 1 | x G I: I 9(x) -' l > A I < e-/'

Citations

• Weighted norm inequalities for maximal functions and singular integrals
• On functions of bounded mean oscillation
• Weighted norm inequalities for the conjugate function and Hilbert transform
• Hp spaces of several variables

Cited by

• Bounded mean oscillation [wikipedia]