Search results for "equality"
showing 10 items of 1338 documents
Weighted norm inequalities in a bounded domain by the sparse domination method
2019
AbstractWe prove a local two-weight Poincaré inequality for cubes using the sparse domination method that has been influential in harmonic analysis. The proof involves a localized version of the Fefferman–Stein inequality for the sharp maximal function. By establishing a local-to-global result in a bounded domain satisfying a Boman chain condition, we show a two-weight p-Poincaré inequality in such domains. As an application we show that certain nonnegative supersolutions of the p-Laplace equation and distance weights are p-admissible in a bounded domain, in the sense that they support versions of the p-Poincaré inequality.
Approximation of Elliptic Hemivariational Inequalities
1999
From the previous chapter we know that there exist many important problems in mechanics in which constitutive laws are expressed by means of nonmonotone, possibly multivalued relations (nonmonotone multivalued stress-strain or reaction-displacement relations,e.g). The resulting mathematical model leads to an inclusion type problem involving multivalued nonmonotone mappings or to a substationary type problem for a nonsmooth, nonconvex superpotential expressed in terms of calculus of variation. It is the aim of this chapter to give a detailed study of a discretization of such a type of problems including the convergence analysis. Here we follow closely Miettinen and Haslinger, 1995, Miettinen…
Robust stabilisation of 2D state-delayed stochastic systems with randomly occurring uncertainties and nonlinearities
2013
This paper is concerned with the state feedback control problem for a class of two-dimensional (2D) discrete-time stochastic systems with time-delays, randomly occurring uncertainties and nonlinearities. Both the sector-like nonlinearities and the norm-bounded uncertainties enter into the system in random ways, and such randomly occurring uncertainties and nonlinearities obey certain mutually uncorrelated Bernoulli random binary distribution laws. Sufficient computationally tractable linear matrix inequality–based conditions are established for the 2D nonlinear stochastic time-delay systems to be asymptotically stable in the mean-square sense, and then the explicit expression of the desired…
L'uguale e il diverso. Come le diseguaglianza deprimono il capitale sociale
2017
Come si creano e come si distruggono lo spirito di cooperazione, la solidarietà, la lealtà, la reciprocità, la fiducia? Quali sono le condizioni che favoriscono (o deprimono) la formazione di capitale sociale? La risposta a questa domanda può illuminare numerosi fenomeni contemporanei quali la crescita della propensione alla chiusura e all’esclusione e il ritorno di manifestazioni discriminatorie, xenofobe e razziste. Anche le peggiori performance economiche del Mezzogiorno possono essere illuminate dalla risposta alla domanda su come si crea (e si distrugge) il capitale sociale.
Regional Income Inequality in Spain 1860–2015
2018
How has regional economic inequality evolved since 1860? Is there a relationship between initial per-capita income and regional growth rates? Is there any relation between the evolution of regional inequality and the economic development process in Spain? In order to answer these questions, a number of different indicators of inequality are offered in this chapter. Then the patterns of convergence or divergence followed by Spanish regions from the mid-nineteenth century to the present are studied. Regional income inequality rose in the early stages of economic development and then declined. However, with high levels of development, around the 1980s, a change of trend is observed. In other w…
Plural Paths for Interweaving Diversity in Palermo
2008
The most recent ethnic movements and cultural contacts are modifying the city nature all over the world, and in these years even the most fringe European areas are witnessing an increase in cultural and social mixité. Currently we can assert that the city is not an unitary system any more, instead is composed of multiple (often non-homogeneous) groups which express new forms and demands of space use. In this context of fast changes, the various ethnic groups coming to European cities are not the only stakeholders of diversity. There are also cultural groups which have remained separate until now, each one rooted in a restricted part of the city, according to models that are obsolete nowaday…
Testing the Martingale Property of Exchange Rates: A Replication
2010
In this paper, we test the martingale property of a set of U.S. exchange rates already analyzed in a recent paper by Yilmaz [J. of Buss. and Ec. Stat., 2003]. We claim that the tests used by Yilmaz are not the most convenient to test the martingale hypothesis (or the equivalent martingale difference of the returns); hence, we compute a recently proposed test by Kuan and Lee [Stud. in Nonlin. Dyn. and Econ., 2004] and compare our results to Yilmaz's. Striking differences arise, which can give a clue about the type of data generating process governing the evolution of exchange rates in each sub-period.
On Fuzzy Stochastic Integral Equations—A Martingale Problem Approach
2011
In the paper we consider fuzzy stochastic integral equations using the methods of stochastic inclusions. The idea is to consider an associated martingale problem and its solutions in order to obtain a solution to the fuzzy stochastic equation.
Martingale Convergence Theorems and Their Applications
2020
We became familiar with martingales X=(X n ) n∈N0 as fair games and found that under certain transformations (optional stopping, discrete stochastic integral) martingales turn into martingales. In this chapter, we will see that under weak conditions (non-negativity or uniform integrability) martingales converge almost surely. Furthermore, the martingale structure implies L p -convergence under assumptions that are (formally) weaker than those of Chapter 7. The basic ideas of this chapter are Doob’s inequality (Theorem 11.4) and the upcrossing inequality (Lemma 11.3).
Regional inequalities and economic downturns
2011
The aim of this paper is to analyze the impact of economic downturns on regional inequalities. From a theoretical point of view regional inequalities may change in the aftermath of economic downturns if different regions have a different degree of resilience to a common shock or/and a different speed of adjustment. To test for this hypothesis we estimate the dynamic response of regional inequalities to economic downturns, controlling and interacting for country’s structural and policy variables associated to regional inequalities. The set of such variables includes, among others, the share of rural population, demographic changes, educational disparities, production diversification, the l…