The space CMO of functions of finite central mean oscillation is an analogue of BMO where the condition that the sharp maximal function is bounded is replaced by the convergence of the sharp function at the origin. In this paper it is shown that each element of CMO is a singular integral image of an element of the Beurling space B2 of functions whose Hardy-Littlewood maximal function converges ...

Q |f − fQ|dx < ∞, (1) where |Q| is the n-dimensional Lebesgue measure of Q, fQ = |Q|−1 ∫ Q fdx, and the supremum is taken over all closed cubes Q ⊂ D with sides parallel to the coordinate axes. Let D and D′ be subdomains of Rm and Rn, m, n ≥ 1, respectively. We say that a map F : D → D′ is measurable if F−1(E) is measurable for each measurable subset E of D′. We say that a measurable map F : D ...

Purpose To assess possible intraday variability in Bruch's membrane opening-based (BMO) assessment of neuroretinal rim by spectral-domain optical coherence tomography (SD-OCT) of the optic nerve head (ONH) as well as to evaluate its independence from intraindividual IOP changes. Methods In this noninterventional, prospective cohort study, 51 consecutively enrolled patients with glaucoma or oc...

and Applied Analysis 3 Moreover, ∥Hωf∥Lp Rn →Lp Rn A. 1.7 Remark 1.1. Notice that the condition 1.6 implies that ω is integrable on 0, 1 since ∫1 0 ω t dt ≤ ∫1 0 t −n/pω t dt. We naturally assumeω is integrable on 0, 1 throughout this paper. Obviously, Theorem A implies the celebrated result of Hardy et al. 6, Theorem 329 , namely, for all 0 < α < 1 and 1 < p < ∞, ‖Iα‖Lp dx →Lp x−pαdx Γ ( 1 − 1...

Products containing silver ion (Ag(+)) are widely used, leading to a large amount of Ag(+)-containing waste. The deep-sea manganese-oxidizing bacterium Marinobacter sp. MnI7-9 efficiently oxidizes Mn(2+) to generate biogenic Mn oxide (BMO). The potential of BMO for recovering metal ions by adsorption has been investigated for some ions but not for Ag(+). The main aim of this study was to develo...

We investigate the well-posedness of (i) the heat flow of harmonic maps from R to a compact Riemannian manifold N without boundary for initial data in BMO; and (ii) the hydrodynamic flow (u, d) of nematic liquid crystals on R for initial data in BMO−1 × BMO.

The purpose of this study was to evaluate the effect of theophylline on tumour necrosis factor-alpha (TNF-alpha) release by human blood monocytes (BMo), and rat BMo and alveolar macrophages (AM). BMo and AM were incubated in the absence or presence of theophylline, and the cell-free supernatants were harvested and tested for TNF-alpha activity by bioassay. Theophylline dose-dependently reduced ...