The aim of this paper is a) if Σak2 < ∞ then Σak rk(x) is in BMO that{rk(x)} is Rademacher system. b) P1k=1 ak!nk (x) 2 BMO; 2k nk < 2k+1that f!n(x)g is Walsh system. c) If jakj < 1k then P1k=1 ak!k(x) 2 BMO.

Purpose To identify determinants of Bruch's membrane opening (BMO), and BMO-minimum rim width (BMO-MRW) and circumpapillary retinal nerve fiber layer thickness (RNFLT) centered on BMO center and characterize these parameters in a normal Japanese population. Methods Spectral-domain optical coherence tomography images of optic nerve head and circumpapillary and macular retina were obtained in 2...

A precise evaluation of the retinal nerve fiber layer thickness (RNFLT) is key for diagnosing and monitoring glaucoma. The Bruch's membrane opening minimum rim width (BMO-MRW) has been proposed as a reproducible assessment of the optic nerve. The BMO-MRW measures the minimum distance from the BMO to the internal limiting membrane. We propose an approach to correct the BMO-MRW using the BMO size...

the aim of this paper is a) if σak2 < ∞ then σak rk(x) is in bmo that{rk(x)} is rademacher system. b) p1k=1 ak!nk (x) 2 bmo; 2k  nk < 2k+1that f!n(x)g is walsh system. c) if jakj < 1k then p1k=1 ak!k(x) 2 bmo.

Purpose To test the hypotheses that: (1) structure-function (SF) relationships between visual fields (VF) and Bruch's membrane opening-based minimum rim width (BMO-MRW) measurements are superior to those for peripapillary retinal nerve fiber layer (pRNFL) in perimetric glaucoma; (2) BMO-MRW measurements may extend the utility of structural measurement across the range of glaucoma severity; and ...

We investigate a scale of dyadic operator-valued BMO spaces, corresponding to the different yet equivalent characterizations of dyadic BMO in the scalar case. In the language of operator spaces, we investigate different operator space structures on the scalar dyadic BMO space which arise naturally from the different characterisations of scalar BMO. We also give sharp dimensional growth estimate...

Let T be the unit circle on R2. Denote by BMO(T) the classical BMO space and denote by BMOD(T) the usual dyadic BMO space on T. Then, for suitably chosen δ ∈R, we have ‖φ‖BMO(T) ‖φ‖BMOD(T) + ‖φ(· − 2δπ)‖BMOD(T), ∀φ ∈ BMO(T). To cite this article: T. Mei, C. R. Acad. Sci. Paris, Ser. I 336 (2003).  2003 Académie des sciences. Published by Éditions scientifiques et médicales Elsevier SAS. All ri...

Abstract. Let S be the group R ⋉ R endowed with the Riemannian symmetric space metric d and the right Haar measure ρ. The space (S, d, ρ) is a Lie group of exponential growth. In this paper we define an Hardy space H and a BMO space in this context. We prove that the functions in BMO satisfy the John–Nirenberg inequality and that BMO may be identified with the dual space of H. We then prove tha...

Let T be the unit circle on R. Denote by BMO(T) the classical BMO space and denote by BMOD(T) the usual dyadic BMO space on T. Then, for suitably chosen δ ∈ R, we have ‖φ‖BMO(T) ⋍ ‖φ‖BMOD(T) + ‖φ(· − 2δπ)‖BMOD(T) ,∀φ ∈ BMO(T) To cite this article: C. R. Acad. Sci. Paris, Ser. I 336 (2003).

Our previous short-term experiment demonstrated that seed oil from bitter melon (Momordica charantia) (BMO), which is rich in cis(c)9, trans(t)11, t13-conjugated linolenic acid (CLN), inhibited the development of azoxymethane (AOM)induced colonic aberrant crypt foci (ACF). In our study, the possible inhibitory effect of dietary administration of BMO on the development of colonic neoplasms was i...