Abstract. In this paper, from a John-Nirenberg (JN) type inequality in BMO(R), we prove Gagliardo-Nirenberg (GN) type inequalities in Qα(R ) which mean the continuous embeddings L(R)∩Qα(R ) ⊆ L(R) for −∞ < α < β, 1/2 < β ≤ 1 and 2 ≤ r ≤ p < ∞. This result generalizes some known embeddings and implies the bilinear estimates in BMO(R) which are useful for studying Navier-Stokes equations. Meanwhi...

1,3-Butadiene (BD), a gas used widely in production and synthesis of rubber, plastics, and resins, is metabolized to three different epoxide metabolites: butadiene monoxide (BMO), butadiene bisoxide (BBO) and epoxybutanediol (ED). We have examined the role of stereochemistry in the chemical and enzyme-mediated conjugation of R- and S-BMO; RR-, SS-, and meso-BBO; and SR-, RS-, RR-, and SS-ED wit...

This paper is devoted to the decomposition of an image f into u + v, with u a piecewise-smooth or “cartoon” component, and v an oscillatory component (texture or noise), in a variational approach. The cartoon component u is modeled by a function of bounded variation, while v, usually represented by a square integrable function, is now being modeled by a more refined and weaker texture norm, as ...

There are no accepted methods to grade bone marrow oedema (BMO) and fracture on magnetic resonance imaging (MRI) scans in Charcot osteoarthropathy. The aim was to devise semiquantitative BMO and fracture scores on foot and ankle MRI scans in diabetic patients with active osteoarthropathy and to assess the agreement in using these scores. Three radiologists assessed 45 scans (Siemens Avanto 1.5T...

We determine the distance (up to a multiplicative constant) in Zygmund class $\Lambda_{\ast}(\mathbb{R}^n)$ subspace $\mathrm{J}(\mathbf{bmo})(\mathbb{R}^n).$ The latter space is image under Bessel potential $J := (1-\Delta)^{-1/2}$ of $\mathbf{bmo}(\mathbb{R}^n),$ which non-homogeneous version classical $\mathrm{BMO}.$ Locally, $\mathrm{J}(\mathbf{bmo})(\mathbb{R}^n)$ consists functions that t...

Given a Radon measure μ on R, which may be non doubling, we introduce a space of type BMO with respect to this measure. It is shown that many properties which hold for the classical space BMO(μ) when μ is a doubling measure remain valid for the space of type BMO introduced in this paper, without assuming μ doubling. For instance, Calderón-Zygmund operators which are bounded on L(μ) are also bou...

Abstract In this manuscript two BMO estimates are obtained, one for Linear Elasticity and Nonlinear Elasticity. It is first shown that the BMO-seminorm of gradient a vector-valued mapping bounded above by constant times symmetric part its gradient, is, Korn inequality in BMO. The uniqueness equilibrium finite deformation whose principal stresses everywhere nonnegative then considered. when seco...

This paper establishes the local (or global, resp.) well-posedness of the heat flow of bihharmonic maps from R to a compact Riemannian manifold without boundary for initial data with small local BMO (or BMO, resp.) norms.

Our aim is to give a characterization of the BMO norm via Banach function spaces based on the Rubio de Francia algorithm. Our proof is different from the one by Ho [Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces, Anal. Math. 38 (2012), 173–185].

Pseudomonas butanovora possesses an alcohol-inducible alkane monooxygenase, butane monooxygenase (BMO), that initiates growth on C(2)-C(9) alkanes. A lacZ transcriptional reporter strain, P. butanovora bmoX::lacZ, in which the BMO promoter controls the expression of beta-galactosidase activity, was used to show that 1-butanol induced the BMO promoter in the presence or absence of O(2) when lact...