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The function is said to be a weighting function for and the triple is called a weighted qpm space.
A T0 qpm space (X, d) is called weightable if there exists a function w : X → [0, ∞) such that for all x, y ∈ X, d x, y) + w(x) = d y, x) + w y). In this case, we say that d is a weightable T0 qpm on X. The function w is said to be a weighting function for (X, d).
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Let be a weight function on and.
Let ω be a weight function.
Let σ be a Békollé weight function and ν be a weight function.
The continuous function ω − 1 cannot be a weight function.
Let (theta(x geq1) be a weight function on (R_{0}^).
Let (1< qbe a weight function.
Let be a weight function on, and let assumptions in Lemma 2.8 be satisfied.
Let be a weight function in and Suppose that for some there exists such that (3.5).
Proposition B Let w be a weight function on G and let 1 < p < ∞.
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