Abstract. In this note, we present two arguments showing that the classical linear adjoint cone restriction conjecture holds for the class of functions supported on the cone and invariant under the spatial rotation in all dimensions. The first is based on a dyadic restriction estimate, while the second follows from a strengthening version of the Hausdorff-Young inequality and the Hölder inequal...

Abstract: The globally exponentially stable conditions for delayed parabolic neural networks with variable coefficients are considered in this paper. We first derive the globally exponentially stable condition for delayed parabolic neural networks with variable coefficients based on delay differential inequality combining with Young inequality. Compared with the method of Lyapunov functionals a...

This paper deals with the problem of observer-based stabilization for linear systems with parameter inequality. A new design methodology is proposed thanks to a judicious use of the famous Young relation. This latter leads to a less restrictive synthesis condition, expressed in term of Linear Matrix Inequality (LMI), than those available in the literature. Numerical comparisons are provided in ...

BACKGROUND Previous studies have found the socioeconomic gradient in health among adolescents to be lower than that observed during childhood and adulthood. The aim of this study was to examine income-related inequalities in health and health-related behaviour across the lifespan in England to explore 'equalisation' in adolescence. METHODS We used five years of data (2006-2010) from the Healt...

OBJECTIVES Cross-national studies have rarely focused on young people. The aim of this study is to investigate whether macro-level determinants are associated with health and socioeconomic inequalities in young people's health. STUDY DESIGN Data were collected from the Health Behaviour in School-aged Children (HBSC) study in 2006, which included 11- to 15-year old adolescents from 27 European...

A classical inequality of L. C. Young is extended to higher dimensions, and using this extension sufficient conditions for the existence of integral ∫ [0,1]n fdg are given, where both f and g are functions of finite higher variations.

We obtain central limit theorems for additive functionals of stationary fields under integrability conditions on the higher-order spectral densities. The proofs are based on the Hölder-Young-Brascamp-Lieb inequality. AMS 2000 Classification: 60F05, 62M10, 60G15, 62M15, 60G10, 60G60