Asymptotic Equivalence of
and
Relevance
Equivalence
Lemma
Let
be absolutely continuous measures on a convex domain
, with densities bounded by the same constant
. Then, for all function
:
Definition of 
The negative Sobolev norm
is defined:
Theorem
Let
be absolutely continuous measures on a convex domain Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Omega }
, with densities bounded from below and from above by the same constants
with
. Then: