Displaying similar documents to “Some contributions to the study of the Space of distributions D'(V), with V closed.”

Sigma-finiteness and regularity of generalized Radon measures.

J. Fernández Novoa (1990)

Collectanea Mathematica

Similarity:

We extend some known sigma-finiteness and regularity results for (locally finite) Radon measures to locally sigma-finite or locally moderated Radon measures of type (H), and we obtain other new ones. The main result states that the regularity and the sigma-finiteness are equivalent for alllocally moderated, diffused, Radon measures of type (H) in a T1 topological space which is either weakly metacompact or paralindelöf (resp. metalindelöf) and has a concassage of Lindelöf (resp. separable)...

Approximating Radon measures on first-countable compact spaces

Grzegorz Plebanek (2000)

Colloquium Mathematicae

Similarity:

The assertion every Radon measure defined on a first-countable compact space is uniformly regular is shown to be relatively consistent. We prove an analogous result on the existence of uniformly distributed sequences in compact spaces of small character. We also present two related examples constructed under CH.

Negligible sets and good functions on polydiscs

Kohur Gowrisankaran (1979)

Annales de l'institut Fourier

Similarity:

A notion of negligible sets for polydiscs is introduced. Some properties of non-negligible sets are proved. These results are used to construct good and good inner functions on polydiscs.

Structure of measures on topological spaces.

José L. de María, Baltasar Rodríguez Salinas (1989)

Revista Matemática de la Universidad Complutense de Madrid

Similarity:

The Radon spaces of type (T), i.e., topological spaces for which every finite Borel measure on Omega is T-additive and T-regular are characterized. The class of these spaces is very wide and in particular it contains the Radon spaces. We extend the results of Marczewski an Sikorski to the sygma-metrizable spaces and to the subsets of the Banach spaces endowed with the weak topology. Finally, the completely additive families of measurable subsets related with the works of Hansell, Koumoullis,...