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Additional
Lp space
English Wikipedia - The Free Encyclopedia
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Lp space
In
mathematics
, the
L
p
spaces
are
function spaces
defined using a natural generalization of the
p
-norm for finite-dimensional
vector spaces
. They are sometimes called
Lebesgue spaces
, named after
Henri Lebesgue
, although according to the
Bourbaki
group they were first introduced by
Frigyes Riesz
.
L
p
spaces
form an important class of
Banach spaces
in
functional analysis
, and of
topological vector spaces
. Lebesgue spaces have applications in physics, statistics, finance, engineering, and other disciplines.
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