On density with respect to equivalent measures

• Autorzy: Bartosiewicz A. , Filipczak M. , Poreda T.
• Języki publikacji: EN

Abstrakty

EN

In the paper there is disscussed a notion of a density point of a Borel subset of a metric space with respect to a Borel measure(mikro) . There are considered densities with respect to equivalent measures and density with respect to the limit of a sequence of equivalent measures.

Słowa kluczowe

EN

density points; Borel measures; equivalent measures

PL

punkt gęstości; miara Borela; miary równoważne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 1
• Strony: 21--28
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Bartosiewicz A.

autor

Filipczak M.

autor

Poreda T.

• Institute of Mathematics, Łódź Technical University ul. Wólczańska 215 93-005 Łódź, Poland,

Bibliografia

• [1] A. Bartoszewicz, On density points of subsets of metric space with respect to the measure given by Radon-Nikodym derivative, Real Anal. Exchange 23(2) (1997/8), 783-786.
• [2] S. Kakutani, On equivalence of infinite product measures, Ann. Math. 49 (1948), 214-224.
• [3] C. Kraft, Some conditions for consistency and uniform consistency of statistical procedures, Univ. of Calif. Publ. Stat. 2.6 (1955), 125-141.
• [4] J. C. Oxtoby, Measure and Category, Springer, New York, 1971