The classical Hausdorff-Young inequality for locally compact abelian groups states that, for 1 ≤ p ≤ 2, the L-norm of a function dominates the L-norm of its Fourier transform, where 1/p + 1/q = 1. By using the theory of non-commutative L-spaces and by reinterpreting the Fourier transform, R. Kunze (1958) [resp. M. Terp (1980)] extended this inequality to unimodular [resp. non-unimodular] groups...

We prove Hausdorff-Young inequality for the Fourier transform connected with Riemann-Liouville operator. We use this inequality to establish the uncertainty principle in terms of entropy. Next, we show that we can derive the Heisenberg-Pauli-Weyl inequality for the precedent Fourier transform.

based on both animal and human studies, inequality in food intake and social instability has adverse effects on the health of individuals and the community. however, it is not known whether social instability, food deprivation and food inequality affect neuronal death and premature aging in young animals. to address this question, the effects of these adverse situations, histopathological chang...

What inequality means for children: evidence from young lives. Background paper for the Global Thematic Consultation “Addressing Inequalities” in the post-2015 Development Agenda Other How to cite: Woodhead, Martin; Dornan, Paul and Murray, Helen (2012). What inequality means for children: evidence from young lives. Background paper for the Global Thematic Consultation “Addressing Inequalities”...

We establish the classical Young inequality on time scales as follows: ab ≤ ∫ a 0 g (x) x + ∫ b 0 (g−1)σ (y) y if g ∈ Crd ([0, c],R) is strictly increasing with c > 0 and g(0) = 0, a ∈ [0, c], b ∈ [0, g(c)]. Using this inequality, we can extend Hőlder’s inequality and Minkowski’s inequality on time scales. © 2005 Elsevier Ltd. All rights reserved. MSC: primary 26D15

Despite the increasing prevalence of dual-earner couples, women still perform the bulk of domestic and parental tasks within the household. In this paper, we investigate the role of the parental model in the persistence of this gender inequality. We study the possible correlation between the domestic time of parents and their young adult co-resident children using the French time-use survey con...

BACKGROUND This study aims to explore young men's understanding of intimate partner violence (IPV) in Ecuador, examining similarities and differences between how ordinary and activist young men conceptualize IPV against women. METHODS We conducted individual interviews and focus group discussions (FGDs) with 35 young men--five FGDs and five interviews with ordinary young men, and 11 interview...

Based on both animal and human studies, inequality in food intake and social instability has adverse effects on the health of individuals and the community. However, it is not known whether social instability, food deprivation and food inequality affect neuronal death and premature aging in young animals. To address this question, the effects of these adverse situations, histopathological chang...