Peetre's inequality explained

t

and any vectors

x

and

y

in

\Realsn,

the following inequality holds:\left(\frac\right)^t ~\leq~ 2^
(1+|x-y|^2)^
.

The inequality was proved by J. Peetre in 1959 and has founds applications in functional analysis and Sobolev spaces.

References

External links