Convolution inequalities in Lorentz spaces

In this paper we study boundedness of the convolution operator in different Lorentz spaces. In particular, we obtain the limit case of the Young-O'Neil inequality in the classical Lorentz spaces. We also investigate the convolution operator in the weighted Lorentz spaces. Finally, norm inequalities for the potential operator are presented.

Persistent bundles over a two dimensional compact set

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Norm convolution inequalities in Lebesgue spaces

We obtain upper and lower estimates of the (p; q) norm of the con-volution operator. The upper estimate sharpens the Young-type inequalities due to O'Neil and Stepanov.

Bergman-type singular operators and the characterization of Carleson measures for Besov-Sobolev spaces on the complex ball

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Locally univalent functions, VMOA, and the Dirichlet space

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Abstract splines in Krein spaces

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A Schoenflies extension theorem for a class of locally bi-Lipschitz homeomorphisms

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Generic optimality conditions for semi-algebraic convex programs

We consider linear optimization over a nonempty convex semi-algebraic feasible region F. Semidefinite programming is an example. If F is compact, then for almost every linear objective there is a unique optimal solution, lying on a unique \active" manifold, around which F is \partly smooth", and the second-order sufficient conditions hold. Perturbing the objective results in smooth variation of the optimal solution. The active manifold consists, locally, of these perturbed optimal solutions; it is independent of the representation of F, and is eventually identified by a variety of iterative algorithms such as proximal and projected gradient schemes. These results extend to unbounded sets F.

Interpolation methods for stochastic processes spaces

In this paper the scales of classes of stochastic processes are introduced. New interpolation theorems and boundedness of some transforms of stochastic processes are proved. Interpolation method for generously-monotonous rocesses is entered. Conditions and statements of interpolation theorems concern he xed stochastic process, which diers from the classical results.

Hankel operators on holomorphic Hardy-Orlicz spaces

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Interpolation and sampling in small Bergman spaces

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Analogs of Cuntz algebras on Lp-spaces

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New stakeholders, spaces and instruments of analysis in the context of energy relationships: Case studies from Kazakhstan and Turkmenistan

The disintegration of the USSR brought the emergence of a new geo-energy space in Central Asia. This space arose in the context of a global energy transition, which began in the late 1970s. Therefore, this new space in a changing energy world requires both new conceptual frameworks of analysis and the creation of new analytical tools. Taking into account this fact, our paper attempts to apply the theoretical framework of the Global Commodity Chain (GCC) to the case of natural resources in Central Asia. The aim of the paper is to check if there could be any Central Asia’s geo-energy space, assuming that this space would exist if natural resources were managed with regional criteria. The paper is divided into four sections. First an introduction that describes the new global energy context within natural resources of Central Asia would be integrated. Secondly, the paper justifies why the GCC methodology is suitable for the study of the value chains of energy products. Thirdly, we build up three cases studies (oil and uranium from Kazakhstan and gas from Turkmenistan) which reveal a high degree of uncertainty over the direction these chains will take. Finally, we present the conclusions of this study that state that the most plausible scenario would be the integration of energy resources of these countries in GCC where the core of the decision-making process will be far away from the region of Central Asia. Key words: Energy transition, geo-energy space, Global Commodity Chains, Central Asia

Holomorphic maps between moduli spaces

We prove that every non-constant holomorphic map&em&M&/em&&sub&g,p&/sub&→ &em&M&/em&&sub& g',p'&/sub& between moduli spaces of Riemann surfaces is a forgetful map, provided that g ≥ 6 and g' ≤ 2g-2.

La Gestió policial als esdeveniments públics en espais urbans a l'Àfrica: situació actual i perspectives = Policing public events in urban spaces in Africa : an analysis of the current situation and a perspective on follow-up action

L’informe que es presenta en aquest llibre és el resultat d’un nou acord de col·laboració entre el Programa de les Nacions Unides per als Assentaments Humans (ONU-Habitat) i l’Institut de Seguretat Pública de Catalunya, impulsat amb l’objectiu de millorar la seguretat en esdeveniments públics en els espais urbans a l’Àfrica. La fase pilot es va dur a terme el 2010, durant els dos seminaris de formació realitzats a Mollet del Vallès (Barcelona) com a part de la Plataforma Policia per al Desenvolupament Urbà (PPUD). En aquest informe es descriuen els orígens i l’estat de la iniciativa i resumeix els resultats. També s’inclouen algunes recomanacions per a millorar la seguretat d’esdeveniments públics. Font d'informació: http://www.onuhabitat.org.