an:05589253
Zbl 1181.28001
Kharazishvili, Alexander B.
Some properties of step-functions connected with extension of measures
EN
Acta Univ. Carol., Math. Phys. 49, No. 2, 57-65 (2008).
00249248
2008
j
28A05 28D05
step-function; extension of measure; invariant measure; quasiinvariant measure; universal measure zero set
Summary: A step-function is any real-valued function whose range is (at most) countable. We discuss some measurability properties of step-functions formulated in terms of extensions of measure. The case of invariant (quasiinvariant) measures is considered especially. We show that this case essentially differs from the case of ordinary measures.