PURPOSE To describe longitudinal rates of change of neuroretinal parameters in patients with glaucoma and healthy controls, and to evaluate the influence of covariates. DESIGN Prospective longitudinal study. PARTICIPANTS Treated patients with glaucoma (n = 192) and healthy controls (n = 37). METHODS Global disc margin-based neuroretinal rim area (DMRA) was measured with confocal scanning ...

We give a constructive proof of the factorization theorem for classical Hardy space in terms fractional integral operator. Moreover, result is extended to multilinear case and weighted case. As an application, we obtain characterization BMO via boundedness commutators operator, without individual conditions on weights class.

In this paper, we show a parabolic version of the Ogawa type inequality in Sobolev spaces. Our inequality provides an estimate of the L∞ norm of a function in terms of its parabolic BMO norm, with the aid of the square root of the logarithmic dependency of a higher order Sobolev norm. The proof is mainly based on the Littlewood-Paley decomposition and a characterization of parabolic BMO spaces....

Purpose To compare optic nerve head (ONH) measurements in glaucomatous eyes with paracentral visual field (VF) loss to eyes with peripheral VF loss and controls. Methods Open-angle glaucoma (OAG) patients with early paracentral VF loss or isolated peripheral VF loss as well as control subjects underwent ONH imaging with swept-source optical coherence tomography (OCT) and retinal nerve fiber l...

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...

The Hilbert transforms associated with monomial curves have a natural non-isotropic structure. We study the commutator of such and symbol $b$ prove upper bound this when is in corresponding BMO space by using Cauchy integral trick. also consider lower introducing new testing given curve, which shows that classical contained space. show non-zero curvature are important, since considering lines, ...

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.

In this paper we obtain an explicit formula of Cauchy--Szego kernel for quaternionic Siegel upper half space, and then based on this, prove that the projection Heisenberg group is a Calderon--Zygmund operator via verifying size regularity conditions kernel. Next, also suitable version pointwise lower bound kernel, which further implies characterisations boundedness compactness commutator BMO VM...