Multiplications aléatoires et dimensions de Hausdorff
Non existence de relèvement pour certaines mesures finiement additives et retractés de ...N.
Nonlinear harmonic measures on trees.
Nonlinear integrals
Non-uniform integrability and generalized Young measures.
Normal characterizations of lattices.
Null sets for doubling and dyadic doubling measures.
On a decomposition of non-negative Radon measures
We establish a decomposition of non-negative Radon measures on which extends that obtained by Strichartz [6] in the setting of -dimensional measures. As consequences, we deduce some well-known properties concerning the density of non-negative Radon measures. Furthermore, some properties of non-negative Radon measures having their Riesz potential in a Lebesgue space are obtained.
On a lemma of G. Choquet
On abstract Stieltjes measure
In 1955, A. Revuz - Annales de l’Institut Fourier, vol. 6 (1955-56) - considered a type of Stieltjes measure defined on analogues of half-open, half-closed intervals in a partially ordered topological space. He states that these functions are finitely additive but his proof has an error. We shall furnish a new proof and extend some of this results to “measures” taking values in a topological abelian group.
On an exponential inequality and a strong law of large numbers for monotone measures
An exponential inequality for Choquet expectation is discussed. We also obtain a strong law of large numbers based on Choquet expectation. The main results of this paper improve some previous results obtained by many researchers.
On an Extendability Problem for Measures.
On common extensions of two quasi-measures
On common extensions of two quasi-measures
On compactness and extreme points of some sets of quasi-measures and measures. II.
On Compactness and Extreme Points of Some Sets of Quasi-Measures and Measures.
On compactness of lattices.
On complete-cocomplete subspaces of an inner product space
In this note we give a measure-theoretic criterion for the completeness of an inner product space. We show that an inner product space is complete if and only if there exists a -additive state on , the orthomodular poset of complete-cocomplete subspaces of . We then consider the problem of whether every state on , the class of splitting subspaces of , can be extended to a Hilbertian state on ; we show that for the dense hyperplane (of a separable Hilbert space) constructed by P. Pták and...
On constructing finite, finitely subadditive outer measures, and submodularity.
On extension of Baire submeasures