Sentence examples for be a weight function from inspiring English sources

Let w be a weight function on (mathbb {R}^{n}), for any measurable set (Esubsetmathbb {R}^{n}), the weighted Lebesgue space (L^{p}(E w)) is the space of all functions satisfying Vert f Vert _{L^{p}(E w)}= biggl( int_{E} biglvert f(x) bigrvert ^{p}w(x),dx biggr)^{1/p}< infty.

Let be a weight function on and.

Let ω be a weight function.

The continuous function ω − 1 cannot be a weight function.

Let (1< qbe a weight function.

Proposition B Let w be a weight function on G and let 1 < p < ∞.

The function is said to be a weighting function for and the triple is called a weighted qpm space.

where is a parameter and is a weight function.

Suppose that is a sibling-set system, and is a weight function.

Let (lambdainmathbb {R}), (1le qis a weight function on (mathbb {R}^{n}).

Here ω is a weight function which may change sign and may vanish on a set of positive measure.