Purpose We investigated the effect of graded range of horizontal duction on the shape of the peripapillary Bruch's membrane (ppBM) and optic nerve head (ONH). Methods In 50 eyes of 25 normal subjects, the ONH and peripapillary retina were imaged by optical coherence tomography (OCT) in central gaze and incremental angles of add- and abduction. Displacements of the Bruch's membrane opening (BM...

With the use of real-variable techniques, we construct a weight function ω on interval [0,2π) which is doubling and satisfies logω BMO function, but not Muckenhoupt (A∞). Applications to BMO–Teichmüller space chord-arc curves are considered.

In this paper, we consider composition operators on Hardy-Sobolev spaces in connections with BMO-quasiconformal mappings. Using the duality of Hardy and BMO-spaces, prove that mappings generate bounded from Hardy–Sobolev to Sobolev spaces.

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...

OBJECTIVE We previously showed that NAD(P)H oxidase deficiency significantly reduces atherosclerosis in apoE(-/-) mice. The present study was designed to determine the relative contribution of monocyte/macrophage versus vascular wall cell NAD(P)H oxidase to atherogenesis in this model. METHODS AND RESULTS Cell-specific NAD(P)H oxidase inhibition was achieved via allogenic, sex-mismatched bone...

PURPOSE This study examined the peripapillary choroidal thickness (PCT) in nonarteritic ischemic optic neuropathy (NAION) in comparison to contralateral eyes and normal eyes. METHODS We used enhanced depth imaging spectral-domain optical coherence tomography to image the optic nerve head of 20 NAION, 10 contralateral eyes, and 102 normal eyes. Following compensation, the scans were manually d...

It la well-known thaI if u E W”’(12), (2 cE .~t satisfles On E L~(fl), then u belonga te BMO(9), Ihe John-Nirenberg Space. Wc prove that Ihis ja no more true if ¡ Dii belonga te an Orlicz apace LÁ((2) whcn the N-function AQ) increases leas Ihan it. In arder te obtain u E BMO ((2), we impose a suitable uniform LA conditien for Dii

{ / E L (Q) : ]Q O, "'"BMO(O) sup (~"~1~-~1 ]2)1/9-} = = = < : (X ~ , BEA(o") while VM0(Q) is the dyadic space dual to H We define the '~aorm" of the bijection .T: A (2)-+ A (2) as follows: Iljrll~= sup ([Urlc-Bjr(II)[.) 1/2 T h e o r e m 1. Suppose that jr: A (2)-+ A (2) /s an arbitrary bijection, jr(Q) = Q. Then lIRa)-, IIBMo(Q)-~BMO(Q) > II-rl12