Tropical varieties for non-archimedean analytic spaces

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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.

Norm inequalities in multidimensional Lorentz spaces

In this paper we obtain necessary and sufficient conditions for double trigonometric series to belong to generalized Lorentz spaces, not symmetric in general. Estimates for the norms are given in terms of coefficients.

Variational inequalities in Hilbert spaces with measures and optimal stopping problems

We study the existence theory for parabolic variational inequalities in weighted L2 spaces with respect to excessive measures associated with a transition semigroup. We characterize the value function of optimal stopping problems for finite and infinite dimensional diffusions as a generalized solution of such a variational inequality. The weighted L2 setting allows us to cover some singular cases, such as optimal stopping for stochastic equations with degenerate diffusion coeficient. As an application of the theory, we consider the pricing of American-style contingent claims. Among others, we treat the cases of assets with stochastic volatility and with path-dependent payoffs.

On the boundedness on inhomogeneous Lipschitz spaces of fractional integrals, singular integrals and hypersingular integrals associated to non-doubling measures on metric spaces

In this paper we prove T1 type necessary and sufficient conditions for the boundedness on inhomogeneous Lipschitz spaces of fractional integrals and singular integrals defined on a measure metric space whose measure satisfies a n-dimensional growth. We also show that hypersingular integrals are bounded on these spaces.

Homotopy exponents for large H-Spaces

We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive answer to a question of Stanley.

Net spaces and boundedness of integral operators

In this paper we introduce new functional spaces which we call the net spaces. Using their properties, the necessary and sufficient conditions for the integral operators to be of strong or weak-type are obtained. The estimates of the norm of the convolution operator in weighted Lebesgue spaces are presented.

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.

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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Abstract splines in Krein spaces

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Vigilance behavior of Pyrenean chamois (Rupicapra pyrenaica pyrenaica): Effect of sex and position in the herd

The Pyrenean chamois (Rupicapra pyrenaica pyrenaica) is a mountain-dwelling ungulate with an extensive presence in open areas. Optimal group size results from the trade off between advantages (a reduction in the risk of predation) and disadvantages (competition between members of the herd) of group living. In addition, advantages and disadvantages of group living may vary depending on the position of each individual within the herd. Our objective was to study the effect of central vs. peripheral position in the herd on feeding and vigilance behavior in male and female Pyrenean chamois and to ascertain if a group size effect existed. We used focal animal sampling and recorded social interactions when a focal animal was involved. With males, vigilance rate was higher in the central part of the group than at the periphery, probably due to a higher density of animals in the central part of the herd and a higher probability of being disturbed by conspecifics. With females, vigilance rate did not differ according to position in the herd. Females spent more time feeding than males, and males showed a higher frequency of the vigilance behavior than females. We did not observe a clear relationship between group size and vigilance behavior. The differences in vigilance behavior might be due to social interactions.

La implementació dels ECTS a la titulació de Formació del Professorat : fomentant l'aprenentatge significatiu mitjançant b-learning, metodologies didàctiques innovadores i l'avaluació contínua

Aquest projecte ha servit per (1) establir un treball col·laboratiu entre el professorat que habitualment impartim les assignatures de Didàctica general i atenció a la diversitat i Organització del Centre Escolar; (2) dissenyar conjuntament espais del campus virtual en la plataforma moodle; (3) compartir material i experiències docents fent formació entre iguals; (4) dissenyar i desenvolupar accions didàctiques innovadores per afavorir l'aprenentatge significatiu; (5) prendre posició respecte a l'elaboració dels nous graus de Formació del Professorat i reelaborar els plans docents nous. Les noves titulacions, el disseny per competències, l’EEES ens ha obligat a fer una reflexió sobre la nostra docència, l’educació superior i la formació dels futurs mestres. Aquest projecte ha recolzat la tasca habitual, donant-li una orientació concreta, en ell hem estat implicat un grup important de professors i professores així com d’alumnes perquè s’ha implementat en els 13 grups d’alumnes de Formació del Professorat i en dues assignatures troncals i obligatòries. Per fer seguiment del treball hem analitzat els productes d’aprenentatges, els espais moodle, així mateix hem anat recollint les valoracions dels estudiants fent qüestionaris i grups de discussió. Tot i que el treball desenvolupat es considera positiu, hi ha aspectes per millorar que també es destaquen en l’informe: dificultats per manca de temps, poc reconeixement, necessitat de cohesionar i estabilitzar equips docents, necessitat d’incorporar tècniques especialistes en el disseny d’entorns virtuals d’aprenentatge en els equips docents, entre d’altres. D’altra banda amb l’elaboració dels nous plans d’estudis les assignatures amb les que hem treballat han perdut l’entitat i el pes que tenien per tenir-ne una altra i en des de 2007 fins a ara hem anat perdent professorat estable i incorporant associats. Fets que fan necessari seguir avançant d’altres maneres, per tant finalitzem un projecte, però es necessari replantejar-se un altre.

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.

Spaces with Noetherian cohomology

Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? This note provides, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov Theorem. We consider the cohomology of a space with coefficients in a module, and we compare Noetherianity over the field with p elements, with Noetherianity over the p-adic integers, in the case when the fundamental group is a finite p-group.