Weighted space
id:
weighted-space-307-792777
title:
Weighted space
text:
In functional analysis, a weighted space is a space of functions under a weighted norm, which is a finite norm that involves multiplication by a particular function referred to as the weight. Weights can be used to expand or reduce a space of considered functions. For example, in the space of functions from a set U ⊂ R to R under the norm ‖ ⋅ ‖ U defined by: ‖ f ‖ U = sup x ∈ U | f | , functions that have infinity as a limit point are excluded. However, the weighted norm ‖ f ‖ = sup x ∈ U | f 1
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Weighted_space
date created:
date modified:
2023-06-21T16:58:03Z
main entity:
{"identifier":"Q7979904","url":"https://www.wikidata.org/entity/Q7979904"}
image:
fields total:
13
integrity:
13