Exponent bounds for a convolution inequality in Euclidean space with applications to the Navier-Stokes equations

Chris Orum, Mina Ossiander

The convolution inequality $h\ast h(\xi )\le B|\xi {|}^{\theta }h(\xi )$ defined on $\Rn$ arises from a probabilistic representation of solutions of the $n$-dimensional Navier-Stokes equations, $n \ge…