Peetre's inequality explained

t and any vectors x and y in \Reals ^{n,} the following inequality holds:$$\backslash left(\backslash frac\backslash right)^t\; ~\backslash leq~\; 2^$$ (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

• Planetmath.org: Peetre's inequality