Norm inequalities in multidimensional Lorentz spaces

In this paper we obtain necessary and sufficient conditions for double trigonometric series to belong to generalized Lorentz spaces, not symmetric in general. Estimates for the norms are given in terms of coefficients.

Variational inequalities in Hilbert spaces with measures and optimal stopping problems

We study the existence theory for parabolic variational inequalities in weighted L2 spaces with respect to excessive measures associated with a transition semigroup. We characterize the value function of optimal stopping problems for finite and infinite dimensional diffusions as a generalized solution of such a variational inequality. The weighted L2 setting allows us to cover some singular cases, such as optimal stopping for stochastic equations with degenerate diffusion coeficient. As an application of the theory, we consider the pricing of American-style contingent claims. Among others, we treat the cases of assets with stochastic volatility and with path-dependent payoffs.

Convolution inequalities in Lorentz spaces

In this paper we study boundedness of the convolution operator in different Lorentz spaces. In particular, we obtain the limit case of the Young-O'Neil inequality in the classical Lorentz spaces. We also investigate the convolution operator in the weighted Lorentz spaces. Finally, norm inequalities for the potential operator are presented.

Development of tools to measure and explain changes in health inequalities in Scotland and benchmark performance

This project will develop a modelling framework to explain changes in income-related health inequalities and benchmark the performance of Scotland in tackling income-related health inequalities, both over time and relative to that of England and Wales.

Inequalities in Child Mortality in India: A District-Level Analysis

This paper measures the degree of inequality in child mortality rates across districts in India, using data from the 1981, 1991 and 2001 Indian population censuses. The results show that child mortality is more concentrated in less developed districts in all three census years. Further, between 1981 and 2001, the inequality in child mortality seems to have increased to the advantage of the more developed districts (i.e., there was an increasing concentration of child mortality in less developed districts). However, the inequality in female child mortality rates seems to have declined between 1991 and 2001, even as it increased – albeit at a slower rate than before – for male child mortality rates. In the decomposition analysis, it is found that while a more equitable distribution of medical facilities and safe drinking water across districts did contribute towards reducing inequality in child mortality between 1981 and 1991, different levels of structural change among districts were responsible for a very large part of the inequality in child mortality to the advantage of the more developed districts in all three census years. Other variables which played important roles in increasing inequality included a measure of infrastructure development, female literacy, and a social group status variable. The paper concludes with some brief comments on the policy implications of the findings.

Norm convolution inequalities in Lebesgue spaces

We obtain upper and lower estimates of the (p; q) norm of the con-volution operator. The upper estimate sharpens the Young-type inequalities due to O'Neil and Stepanov.

Inequalities in Perceived Health

A report on the All-Ireland Social Capital and Health Survey. This is the first report in Ireland, North or South, which measures and identifies systematically the connections between perceived health and an extensive range of demographic and socio-economic characteristics and lifestyle behaviours. The concept of social capital and the ways in which social capital may be an important determinant of health is receiving increased attention from policy-makers. The Institute of Public Health in Ireland produced a report in 2004 based on its All Ireland Social Capital and Health Survey. The report explores how people feel about their health and highlights how this is linked with perceptions of the local social environment as well as to demographic and socio-economic circumstances and lifestyle behaviours.

IPH response to the Strategic Review of Health Inequalities in England post 2010

IPH contributed to the Strategic Review of Health Inequalities in England being carried out by Professor Sir Michael Marmot, Chair of the Commission on the Social Determinants of Health.  IPH acknowledges the immense work done by the Review team and welcomes the opportunity to inform its work. We see the review as a vital opportunity to provide a “catalyst for concerted action” not only in England but in its near neighbours in Northern Ireland and Ireland. Health inequalities are rife across the UK and Ireland despite a range of developments in policy and practice designed to create more equal opportunities for health. We commend the approach taken in the Review, which applies scientific rigour and the combined expertise of a number of defined task groups to seek solutions to the vexing challenge of health inequality.

Equality and Inequalities in Health and Social Care in Northern Ireland

A Statistical Overview: 2002 Following some scene setting, the report draws together wide ranging information to document inequalities in health and social care in Northern Ireland that are relevant to the New Targeting Social Need (New TSN) policy, including the base report of the ‘Inequalities Monitoring System’. The overview also documents comparisons between people living in rural and non-rural areas, and between the statutory equality categories of Section 75 of the Northern Ireland Act. While some of the information has been previously published most of the results are new, and the majority of the new analyses has been undertaken by IAD. åÊ

Social and economic inequalities in diet and physical activity

This briefing paper describes social and economic inequalities associated with two of the key determinants of obesity - diet and physical activity. The paper also explores possible explanations for these inequalities.

Hiding the evidence: The State and spatial inequalities in health in Ireland

The Irish State has consistently reduced its production of publicly accessible disease / mortality maps over the last fifty years. State health statistics, and the small number of disease / mortality maps that have been produced in official publications, show a declining level of detail and are routinely out of date. Following a review of the production of disease / mortality maps in Ireland by the State and allied health agencies, two reasons are suggested for this decline. The first explanation relates to spatial inequalities in healthcare provision and to the absence of a health funding formulae in Ireland. The second explanation focuses on the potential politicisation of spatial inequalities in health status. Researchers in these fields are urged to disseminate information widely on spatial inequalities in healthcare provision, healthcare access and health status, both within and outside of the academic literature. Researchers in these fields are also urged to adopt an advocacy role on these issues, or to develop strategic alliances with such advocates.����

Highly educated men and women likely to live longer

Life expectancy by educational attainment is a very important indicator of socio-economic inequalities in health. Based on the available data for a selection of EU Member States and Norway, a systematic relationship between educational attainment and mortality can be observed: at any age, life expectancy is less among persons with the lowest educational attainment and increases with educational level.Large differences in life expectancy by educational attainment can be observed among Member States. Moreover, these differences are more pronounced for men than for women.