<s>
In	O
functional	B-Application
analysis	I-Application
,	O
a	O
weighted	B-Algorithm
space	I-Algorithm
is	O
a	O
space	O
of	O
functions	O
under	O
a	O
weighted	O
norm	O
,	O
which	O
is	O
a	O
finite	O
norm	O
(	O
or	O
semi-norm	O
)	O
that	O
involves	O
multiplication	O
by	O
a	O
particular	O
function	O
referred	O
to	O
as	O
the	O
weight	O
.	O
</s>
<s>
When	O
the	O
weight	O
is	O
of	O
the	O
form	O
,	O
the	O
weighted	B-Algorithm
space	I-Algorithm
is	O
called	O
polynomial-weighted	O
.	O
</s>
