Equivalence of norms on finite linear combinations of atoms

Let M be a space of homogeneous type and denote by F^\infty_{cont}(M) the space of finite linear combinations of continuous (1,\infty)-atoms. In this note we give a simple function theoretic proof of the equivalence on F^\infty_{cont}(M) of the H^1-norm and the norm defined in terms of finite linear combinations of atoms. The result holds also for the class of nondoubling metric measure spaces considered in previous works of A. Carbonaro and the authors.Comment: 10 pages, revised argumen

Estimates for functions of the Laplacian on manifolds with bounded geometry

In this paper we consider a complete connected noncompact Riemannian manifold M with Ricci curvature bounded from below and positive injectivity radius. Denote by L the Laplace-Beltrami operator on M. We assume that the kernel associated to the heat semigroup generated by L satisfies a mild decay condition at infinity. We prove that if m is a bounded holomorphic function in a suitable strip of the complex plane, and satisfies Mihlin-Hormander type conditions of appropriate order at infinity, then the operator m(L) extends to an operator of weak type 1. This partially extends a celebrated result of J. Cheeger, M. Gromov and M. Taylor, who proved similar results under much stronger curvature assumptions on M, but without any assumption on the decay of the heat kernel.Comment: 19 page

Higher order Riesz transforms on noncompact symmetric spaces

In this note we prove various sharp boundedness results on suitable Hardy type spaces for Riesz transforms of arbitrary order on noncompact symmetric spaces of arbitrary rank.Comment: v2: the first version has been revised and splitted up in two papers, of which this new version is one par

THE ROLE OF THE AESTHETICS IN THE MAKING OF A BRAND

The aim of this paper is to distinguish the role of the aesthetics in the creation of a brand. Aesthetics is a new model of marketing and it guarantees to the firms the possibility to address to the consumers through a variety of sensory experiences and, as a consequence, it brings benefits both to the consumers and to the firms by promoting customer’s satisfaction and loyalty. Those companies which are aware of the importance of creating a brand identity may get on the market a preference among consumers, its can add value to products and can impose higher prices. ZARA Company is a successful model succeeding from the beginning to use the aesthetics’ advantages to create its own identity. ZARA, the main store of the INDITEX Group (Industria del Diseño Textil SA) is an already well known international brand, its most important feature being the transfer for the retail sector together with the imagine that reflects in the territory of several coutries. Therefore, through company’s name, logo, website, own style, corporate and brand expressions, we will try to illustrate how this company managed to create a positive image among customers using aesthetics.the aesthetics in marketing, ZARA’s identity, themes, products, presentations, publications

“Contro il tanto deprecato mercantilismo scolastico”: i controversi rapporti tra produttori di quaderni, insegnanti e cartolai e l’intervento del regime fascista

Nel presente studio - pubblicato negli atti del convegno internazionale «School Exercise Books. A Complex Source for a History of the Approach to Schooling and Education in the 19th and 20th Centuries» (Macerata, 26-29 settembre 2007) - viene delineato l’excursus storico del quaderno scolastico in Italia, descrivendo il complesso processo di normalizzazione che lo trasformò – nel periodo compreso tra gli ultimi due decenni del XIX secolo e la prima metà del XX – da un prodotto artigianale a distribuzione locale in un prodotto industriale a diffusione di massa, protagonista indiscusso del fiorente mercato scolastico italiano. Al fine di raggiungere tale obiettivo, analizzeremo i controversi rapporti esistenti tra gli insegnanti, i produttori di quaderni e i cartolai addetti alla loro vendita. Infine, descriveremo l’intervento del regime fascista, mirante a controllare direttamente la produzione e la commercializzazione dei quaderni scolastici a livello nazionale, a causa della loro natura di efficace strumento di propaganda