Eine Konvexitätsungleichung für Integrale in Fréchet-Räumen.
El teorema de Radon-Nikodym en espacios bornológicos.
ELB holomorphic factorization over projective limit representations
Embedding in
If is a measurable space and a Banach space, we provide sufficient conditions on and in order to guarantee that , the Banach space of all -valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of if and only if does.
Embedding derivatives of -harmonic tent spaces into Lebesgue spaces.
Embeddings of Fréchet spaces in uniform Fréchet algebras
Entire functions on locally convex spaces and convolution operators
Entire functions on nuclear sequence spaces.
Entire functions uniformly bounded on balls of a Banach space
Let X be an infinite-dimensional complex Banach space. Very recently, several results on the existence of entire functions on X bounded on a given ball B₁ ⊂ X and unbounded on another given ball B₂ ⊂ X have been obtained. In this paper we consider the problem of finding entire functions which are uniformly bounded on a collection of balls and unbounded on the balls of some other collection.
Equivariant measurable liftings
We discuss equivariance for linear liftings of measurable functions. Existence is established when a transformation group acts amenably, as e.g. the Möbius group of the projective line. Since the general proof is very simple but not explicit, we also provide a much more explicit lifting for semisimple Lie groups acting on their Furstenberg boundary, using unrestricted Fatou convergence. This setting is relevant to -cocycles for characteristic classes.
Errata : « Les semi-martingales formelles »
Errata to the article "Classificação polinomial de espaços localmente convexos" (Port. Math., 38(1-2) (1979), 59-102)
Errata to the article "On holomorphy in Banach spaces and absolute convergence of Fourier series" (Port. Math., 45(4) (1988), 429-450)
Erratum to the paper: Ideals of homogeneous polynomials and weakly compact approximation property in Banach spaces published in Czech. Math. J. vol. 57 (132), No. 2 (2007), 763–776
Espaces de Banach faiblement -analytiques
Espaces de Sobolev gaussiens
Soit une mesure gaussienne sur un espace localement convexe . On donne un nouveau point de vue sur le premier espace de Sobolev construit sur et . La différentielle de est une fonction de deux variables , “quasi-linéaire” dans la seconde variable.La différentielle d’une intégrale stochastique est une intégrale stochastique sur muni de .On montre que la “procapacité gaussienne” naturelle est une vraie capacité si est un espace de Banach ou de Fréchet ou le dual faible d’un espace...
Espaces du type Sobolev sur un espace de Hilbert complexe
Espaces localement convexes séparés différentiables
Espacios de funciones holomorfas cuyas diferenciales se extienden en el origen.
Espacios LP y teoremas de convergencia para integrales vectoriales.