Sentence examples similar to measurable function covering from inspiring English sources

Lebesgue measure, measurable functions, integrability, completeness of L-p spaces.

If (p>-1), (gammain mathscr{C} k,p,m,n)) (resp. (gammainmathscr{D} k,p,m,n))) and u is a measurable function on (partial{C_{n}(Omega)}) satisfying (1.5), then there exists a covering ({r_{j},R_{j}}) of (E epsilon; mu,zeta)) (resp.

Similar statements can be made about a measurable function in $\mathbb R^n$.

The appropriate restriction is that a random variable must be a measurable function.

where is a measurable function.

A function is called N- measurable on if for every measurable function the function is measurable.

(b) defines a measurable function from into.

The obstacle is a measurable function.

Let be a non (Lebesgue) measurable function.

A measurable function is called a measurable selection of if for every Denote by (2.4).

Therefore (4.2) is a measurable function as a linear combination of measurable ones.