Weighted Hardy spaces for the unit disc: approximation properties

In this paper we study basic properties of the weighted Hardy space for the unit disc with the weight function satisfying Muckenhoupt's (Aq) condition, and study related approximation problems (expansion, moment and interpolation) with respect to two incomplete systems of holomorphic functions in this space.

Hankel operators on holomorphic Hardy-Orlicz spaces

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Hardy-Weinberg Equilibrium and the Ternary Plot

The Hardy-Weinberg law, formulated about 100 years ago, states that under certainassumptions, the three genotypes AA, AB and BB at a bi-allelic locus are expected to occur inthe proportions p2, 2pq, and q2 respectively, where p is the allele frequency of A, and q = 1-p.There are many statistical tests being used to check whether empirical marker data obeys theHardy-Weinberg principle. Among these are the classical xi-square test (with or withoutcontinuity correction), the likelihood ratio test, Fisher's Exact test, and exact tests in combinationwith Monte Carlo and Markov Chain algorithms. Tests for Hardy-Weinberg equilibrium (HWE)are numerical in nature, requiring the computation of a test statistic and a p-value.There is however, ample space for the use of graphics in HWE tests, in particular for the ternaryplot. Nowadays, many genetical studies are using genetical markers known as SingleNucleotide Polymorphisms (SNPs). SNP data comes in the form of counts, but from the countsone typically computes genotype frequencies and allele frequencies. These frequencies satisfythe unit-sum constraint, and their analysis therefore falls within the realm of compositional dataanalysis (Aitchison, 1986). SNPs are usually bi-allelic, which implies that the genotypefrequencies can be adequately represented in a ternary plot. Compositions that are in exactHWE describe a parabola in the ternary plot. Compositions for which HWE cannot be rejected ina statistical test are typically “close" to the parabola, whereas compositions that differsignificantly from HWE are “far". By rewriting the statistics used to test for HWE in terms ofheterozygote frequencies, acceptance regions for HWE can be obtained that can be depicted inthe ternary plot. This way, compositions can be tested for HWE purely on the basis of theirposition in the ternary plot (Graffelman & Morales, 2008). This leads to nice graphicalrepresentations where large numbers of SNPs can be tested for HWE in a single graph. Severalexamples of graphical tests for HWE (implemented in R software), will be shown, using SNPdata from different human populations

La incapacidad de amar en A pair of blue eyes de Thomas Hardy

A Pair of Blue Eyes ha estat considerada tradicionalment como el primer exemple de pessimisme i fatalisme en les novel·les de Hardy. Aquest treball pretén mostrar que la novel·la no segueix aquest patró, sinó que en base al model aristotèlic de catarsis, mostra l’ error que suposa seguir falsos models amorosos.

The implicit theory of historical change in the work of Alan S. Milward

Alan S. Milward was an economic historian who developed an implicit theory ofhistorical change. His interpretation which was neither liberal nor Marxist positedthat social, political, and economic change, for it to be sustainable, had to be agradual process rather than one resulting from a sudden, cataclysmicrevolutionary event occurring in one sector of the economy or society. Benignchange depended much less on natural resource endowment or technologicaldevelopments than on the ability of state institutions to respond to changingpolitical demands from within each society. State bureaucracies were fundamentalto formulating those political demands and advising politicians of ways to meetthem. Since each society was different there was no single model of developmentto be adopted or which could be imposed successfully by one nation-state onothers, either through force or through foreign aid programs. Nor coulddevelopment be promoted simply by copying the model of a more successfuleconomy. Each nation-state had to find its own response to the political demandsarising from within its society. Integration occurred when a number of nation states shared similar political objectives which they could not meet individuallybut could meet collectively. It was not simply the result of their increasinginterdependence. It was how and whether nation-states responded to thesedomestic demands which determined the nature of historical change.

Infraestructures de Transport i Localització Industrial. Evidència Empírica per a Catalunya

El propòsit d'aquest treball és analitzar fins a quin punt la millora en l'accessibilitat dels municipis a la xarxa viària d'alta capacitat ha tingut efectes positius en la creació d'establiments industrials. En concret, estudiem les decisions de localització d'establiments industrials a escala local per a 19 sectors manufacturers amb una desagregació de 2 dígits. Aquest treball incorpora variables de gran rellevància (com ara una mesura d'accessibilitat mesurada en temps de desplaçament i els efectes de les inversions viàries) i utilitza tècniques d'anàlisi espacial. Pel que fa a les entrades d'establiments industrials, les dades han estat obtingudes del Registre d'Establiments Industrials de Catalunya (REIC). Els resultats mostren una incidència positiva de les millores en la xarxa viària sobre les decisions de localització de les empreses.

Una primera aproximació a la selecció d'un sistema automatitzat de biblioteques

Res no pot garantir que un procés de selecció d'un sistema automatitzat arribi a tenir èxit, però l'observació d'un conjunt de principis de sentit comú pot ajudar a assegurar l'èxit del resultat. El procés ha de centrar-se en el llarg termini i ha de tenir present el context institucional en el qual el sistema s'establirà. Els sistemes estan cada vegada més orientats als usuaris, i per tant el compromís dels usuaris en el procés de selecció és més i més important. Els components del procés de selecció poden ser previstos i combinats de moltes maneres diferents. El procediment usat per les Purdue University Libraries serveix per a il·lustrar una via en la realització pràctica d'un procés.

Refined asymptotics for the subcritical Keller-Segel system and related functional inequalities

We analyze the rate of convergence towards self-similarity for the subcritical Keller-Segel system in the radially symmetric two-dimensional case and in the corresponding one-dimensional case for logarithmic interaction. We measure convergence in Wasserstein distance. The rate of convergence towards self-similarity does not degenerate as we approach the critical case. As a byproduct, we obtain a proof of the logarithmic Hardy-Littlewood-Sobolev inequality in the one dimensional and radially symmetric two dimensional case based on optimal transport arguments. In addition we prove that the onedimensional equation is a contraction with respect to Fourier distance in the subcritical case.

On the effect of the geographical scope of agglomeration economies on firm location

This article analyses how agglomeration economies shaped the location decisions of new manufacturing start-ups in Catalan municipalities in 2001-2005. We estimate whether the locations of new firms are spatially autocorrelated and whether this phenomenon is industry-specific. Our aim is to estimate the geographical scope of agglomeration economies on firm entries. The data set comes from a compulsory register of manufacturing establishments (REIC: Catalan Manufacturing Establishments Register). JEL classification: R1, R3 Keywords: firm location; spatial autocorrelation

Desenvolupament d'una plataforma de simulació de rutes ciclistes (Simulbike)

L'aplicació que es pretén realitzar en aquest projecte consisteix en desenvolupar un sistema de simulació de rutes de muntanya en bicicleta.

Complex and real Hausdorff operators

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New pre-dual space of Morrey space

In this paper we give new characterization of the classical Morrey space. Complementary global Morrey-type spaces are introduced. It is proved that for particular values of parameters these spaces give new pre-dual space of the classical Morrey space. We also show that our new pre-dual space of the Morrey space coincides with known pre-dual spaces.