Darstellung des iterierten Maßintegrals als Limes von iterierten Zwischensummen. I.
Descriptive properties of spaces of signed measures
Dieudonné-type theorems for lattice group-valued -triangular set functions
Some versions of Dieudonné-type convergence and uniform boundedness theorems are proved, for -triangular and regular lattice group-valued set functions. We use sliding hump techniques and direct methods. We extend earlier results, proved in the real case. Furthermore, we pose some open problems.
Differentiation of implicit functions and Steinhaus' theorem in topological measure spaces
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.
Equivanishing sequences of mappings
Utilizing elementary properties of convergence of numerical sequences we prove Nikodym, Banach, Orlicz-Pettis type theorems
Estabilidad de la convergencia débil de medidas.
Families of pairwise orthogonal measures
Fatou's lemma and Lebesgue's convergence theorem for measures.
Finite-tight sets
We introduce two notions of tightness for a set of measurable functions - the finite-tightness and the Jordan finite-tightness with the aim to extend certain compactness results (as biting lemma or Saadoune-Valadier’s theorem of stable compactness) to the unbounded case. These compactness conditions highlight their utility when we look for some alternatives to Rellich-Kondrachov theorem or relaxed lower semicontinuity of multiple integrals. Finite-tightness locates the great growths of a set of...
Fonction convexe d'une mesure et applications
Gleichmäßige Verteilung von Punkten in gewissen metrischen Räumen, speziell auf der Kugel.
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space
In this paper we summarize some of the main results of a forthcoming book on this topic, where we examine in detail the theory of curves of maximal slope in a general metric setting, following some ideas introduced in [11, 5], and study in detail the case of the Wasserstein space of probability measures. In the first part we derive new general conditions ensuring convergence of the implicit time discretization scheme to a curve of maximal slope, the uniqueness, and the error estimates. In the second...
Group ideals in a semigroup of measures.
Hessian measures. II.
Images of uniform measures
Induced ...-Homomorphisms and a Parametrization of Measurable Sections via Extremal Preimage Measures.
Integral Representation in the Set of Solutions of a Generalized Moment Problem.
Intersection Numbers and Weak* Separability of Spaces of Measures.