Search results for " inequality."

Isoperimetric inequality from the poisson equation via curvature

2012

In this paper, we establish an isoperimetric inequality in a metric measure space via the Poisson equation. Let (X,d,μ) be a complete, pathwise connected metric space with locally Ahlfors Q-regular measure, where Q > 1, that supports a local L2-Poincare inequality. We show that, for the Poisson equation Δu = g, if the local L∞-norm of the gradient Du can be bounded by the Lorentz norm LQ,1 of g, then we obtain an isoperimetric inequality and a Sobolev inequality in (X,d,μ) with optimal exponents. By assuming a suitable curvature lower bound, we establish such optimal bounds on . © 2011 Wiley Periodicals, Inc.

A non-doubling Trudinger inequality

2005

Hardy’s inequality and the boundary size

2002

We establish a self-improving property of the Hardy inequality and an estimate on the size of the boundary of a domain supporting a Hardy inequality.

On improved fractional Sobolev–Poincaré inequalities

2016

We study a certain improved fractional Sobolev–Poincaré inequality on domains, which can be considered as a fractional counterpart of the classical Sobolev–Poincaré inequality. We prove the equivalence of the corresponding weak and strong type inequalities; this leads to a simple proof of a strong type inequality on John domains. We also give necessary conditions for the validity of an improved fractional Sobolev–Poincaré inequality, in particular, we show that a domain of finite measure, satisfying this inequality and a ‘separation property’, is a John domain.

Autistic Adult Health and Professional Perceptions of It: Evidence From the ASDEU Project

2021

The Autism Spectrum Disorders in the European Union (ASDEU) survey investigated the knowledge and health service experiences of users and providers to generate new hypotheses and scientific investigations that would contribute to improvement in health care for autistic adults. An online survey designed for autistic adults, carers of autistic adults, and professionals in adult services was translated into 11 languages and distributed electronically by organizations and in-country adult service facilities in 2017; 522 autistic adults, 442 carers, and 113 professionals provided answers to the health questions. Professionals, the majority in non-medical services, appeared to be poorly informed …

Autonomy Freedom and Preferences for Redistribution

2007

In this paper we study the determinants of people's attitudes toward income inequality and their consequences for redistributive policies. In the light of a recent literature in social choice theory, we argue that an individual's attitudes toward inequality depend upon the extent of autonomy freedom he/she enjoys. We use individual level data to validate our theory and show that the higher the extent of an individual's autonomy freedom, the greater the probability that he/she supports larger income differences as incentives for individual effort. Conversely, the lower the extent of autonomy freedom, the more likely he/she supports the view that incomes should be made more equal. These findi…

When Aiyagari meets Piketty: Growth, Inequality and Capital Shares

2021

We incorporate the division of income between capital and labor into analysis on the relationship between inequality and growth. Using historical data, we document that changes in the top 1 % income shares are positively associated with subsequent growth of per capita GDP when the capital share of income is low, whereas under high capital share, the association is negative. We show that these findings are compatible with a theoretical analysis that emphasises how changes in the distribution of income translate into the accumulation of capital and overall economic activity through the interplay between precautionary saving motives and consumption smoothing. We also investigate how accounting…

Measuring universal health coverage based on an index of effective coverage of health services in 204 countries and territories, 1990-2019: a systema…

2020

Publisher's version (útgefin grein)

On Carlson"s and Shafer"s inequalities

2014

In this paper the authors re ne the Carlson"s inequalities for inverse cosine function, and the Shafer"s inequalities for inverse tangent function.

What Explains the Long-term Evolution of Regional Income Inequality in Spain?

2018

This chapter analyses the proximate causes of territorial inequality. To do this per-capita income inequality is broken down into elements related to differences in regional labour markets and elements linked to the presence of differences in labour productivity between regions. Then the factors that determine these differences in productivity are examined by carrying out a number of quantitative exercises to see whether or not they are in some way connected to the territories’ different production structures or whether they are due to the different levels of productivity registered by each sector on a regional scale. This set of exercises shows which of the potential explanatory factors wa…