In mathematical analysis, the Young's inequality for integral operators, is a bound on the operator norm of an integral operator in terms of norms of the kernel itself.
Overview
In mathematical analysis, the Young's inequality for integral operators, is a bound on the operator norm of an integral operator in terms of norms of the kernel itself.
Statement
Assume that and are measurable spaces, is measurable and are such that . If
for all
and
for all
then
Particular cases
