Many combinatorial optimization problems entail a number of hierarchically dependent optimization problems. An often used solution is to associate a suitably large cost with each individual optimization problem, such that the solution of the resulting aggregated optimization problem solves the original set of optimization problems. This paper starts by studying the package upgradeability proble...

Oxygen vacancies (Ovs) in semiconductors, which can adsorb and activate N2 molecules, are active sites for photocatalytic nitrogen reduction to ammonia. However, simple effective methods creating Ovs still need be explored. Herein, mannitol was used selectively create at Mo Bi2MoO6 (BMO) form BMO short nanorods (SNRs) through a hydrothermal process, with the Ov content, SNR size, surface area o...

We present here a correction to an error in our paper [3]. We are grateful to Dachun Yang for bringing the error to our attention. In [3] we develop a theory of H1 (Hardy type) and BMO spaces adapted to a second order, divergence form elliptic (aka accretive) operator L in Rn, with complex, L∞ coefficents. In particular we establish the equivalence of several different H1 type spaces, based on ...

In this paper we show how to compute the Λα norm , α ≥ 0, using the dyadic grid. This result is a consequence of the description of the Hardy spaces H(R ) in terms of dyadic and special atoms. Recently, several novel methods for computing the BMO norm of a function f in two dimensions were discussed in [9]. Given its importance, it is also of interest to explore the possibility of computing the...

framework for John Nirenberg inequalities and applications to Hardy spaces Frédéric Bernicot CNRS Laboratoire Paul Painlevé Université Lille 1 59655 Villeneuve d’Ascq Cedex, France [email protected] Jiman Zhao ∗ School of Mathematical Sciences, Beijing Normal University Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P.R. China jzhao...

PURPOSE To measure horizontal and vertical lamina cribrosa (LC) tilt angles and investigate associated factors using prototype optical coherence tomography (OCT) with a broad wavelength laser light source. DESIGN Cross sectional study. METHODS Twenty-eight no glaucoma eyes (from 15 subjects) and 25 glaucoma eyes (from 14 patients) were enrolled. A total of 300 optic nerve head B-scans were ...

Ó. Blasco and S. Pott showed that the supremum of operator norms over L 2 $L^2$ all bicommutators (with same symbol) one-parameter Haar multipliers dominates biparameter dyadic product BMO norm symbol itself. In present work we extend this result to Bloom setting, any exponent 1 < p ? $1<p<\infty$ . The main tool is a new characterization in terms paraproducts two-weight John–Nirenberg inequali...

Some Lipschitz norm and BMO norm inequalities for potential operator to the versions of differential forms are obtained, and some properties of a new kind of A λ3 r λ 1 , λ 2 , ΩΩ weight are derived.

A BMO-estimation of two-dimensional Walsh-Fourier series is proved from which an almost everywhere exponential summability of quadratic partial sums of double Walsh-Fourier series is derived.

Peetre's A"-functional for the Hardy space Hp, 0 < p < +00, and the space BMO of functions of bounded mean oscillation is explicitly characterized in the case of a product of upper half-spaces.