Borel measurable function

Borel measurable function

[bȯ·rel ¦mezh·rə·bəl ′fənk·shən]
(mathematics)
A real-valued function such that the inverse image of the set of real numbers greater than any given real number is a Borel set.
More generally, a function to a topological space such that the inverse image of any open set is a Borel set.
References in periodicals archive ?
More precisely, we assume that f : D x [0, [infinity]) [right arrow] [0, [infinity]) is Borel measurable function satisfying
A Borel measurable function q in D belongs to the Kato class K(D) if
Throughout the paper, let G be a locally compact group with a fixed left Haar measure [lambda] and [omega] be a weight function on G; that is, a positive Borel measurable function on G.