Generalised Gagliardo-Nirenberg inequalities using weak Lebesgue spaces and BMO

David S. McCormick, James C. Robinson, Jose L. Rodrigo

Using elementary arguments based on the Fourier transform we prove that for $1\le q<p<\infty$ and $s\ge 0$ with $s>n(1/2-1/p)$, if $f \in L^{q,\infty}(\R^n) \cap \dot{H}^…