On the sum of squares of the coefficients of Bloch functions

In this article several types of inequalities for weighted sums of the moduli of Taylor coefficients for Bloch functions are provedComment: 13 page

On the Fekete-Szeg\"o problem for concave univalent functions

We consider the Fekete-Szeg\"o problem with real parameter $\lambda$ for the class $Co(\alpha)$ of concave univalent functions.Comment: 9 page

On the Residuum of Concave Univalent Functions

2000 Mathematics Subject Classification: 30C25, 30C45.Let D denote the open unit disc and f:D→[`C] be meromorphic and injective in D. We further assume that f has a simple pole at the point p О (0,1) and is normalized by f(0) = 0 and f′(0) = 1. In particular, we are concerned with f that map D onto a domain whose complement with respect to [`C] is convex. Because of the shape of f(D) these functions will be called concave univalent functions with pole p and the family of these functions is denoted by Co(p). We determine for fixed p ∈ (0,1) the set of variability of the residuum of f, f ∈ Co(p)

DUALITY FOR SOME LARGE SPACES OF ANALYTIC FUNCTIONS

We characterize the duals and biduals of the $L^p$-analogues $\mathcal{N}_\alpha^p$ of the standard Nevanlinna classes $\mathcal{N}_\alpha$, $\alpha\ge-1$ and $1\le p\lt \infty$. We adopt the convention to take $\mathcal{N}_{-1}^p$ to be the classical Smirnov class $\mathcal{N}^+$ for $p=1$, and the Hardy-Orlicz space $LH^p$ $(=(\text{Log}^+H)^p)$ for $1\lt p\lt\infty$. Our results generalize and unify earlier characterizations obtained by Eoff for $\alpha=0$ and $\alpha=-1$, and by Yanigahara for the Smirnov class. Each $\mathcal{N}_\alpha^p$ is a complete metrizable topological vector space (in fact, even an algebra); it fails to be locally bounded and locally convex but admits a separating dual. Its bidual will be identified with a specific nuclear power series space of finite type; this turns out to be the ‘Fréchet envelope' of $\mathcal{N}_\alpha^p$ as well. The generating sequence of this power series space is of the form $(n^\theta)_{n\in\mathbb{N}}$ for some $0\lt\theta\lt1$. For example, the $\theta$s in the interval (\smfr12,1) correspond in a bijective fashion to the Nevanlinna classes $\mathcal{N}_\alpha$, $\alpha\gt-1$, whereas the $\theta$s in the interval (0,\smfr12) correspond bijectively to the Hardy-Orlicz spaces $LH^p$, $1\lt p\lt \infty$. By the work of Yanagihara, \theta=\smfr12 corresponds to $\mathcal{N}^+$. As in the work by Yanagihara, we derive our results from characterizations of coefficient multipliers from $\mathcal{N}_\alpha^p$ into various smaller classical spaces of analytic functions on $\Delta$. AMS 2000 Mathematics subject classification: Primary 46E10; 46A11; 47B38. Secondary 30D55; 46A45; 46E15\vskip-3p

Évaluation du secteur communautaire du Service social de la Ville de Genève

Le Conseil administratif de la Ville de Genève a mandaté l'IDHEAP en tant qu'expert indépendant pour évaluer le secteur communautaire, une unité administrative rattachée au Service social. En prenant en considération les enjeux socio-sanitaires auxquels la Ville de Genève est confrontée, le concept d'étude proposé par l'Unité de politiques locales et d'évaluation de l'IDHEAP vise à établir un bilan de l'action du secteur communautaire, à déterminer la pertinence de cette action, son efficacité et son efficience, à tracer des perspectives en tenant compte notamment des prestations fournies par d'autres acteurs présents dans les domaines de la cohésion sociale et de la prévention socio-sanitaire, ainsi qu'à proposer des recommandations