A Lorentz Endpoint and Quantitative Obstruction for a Cowling-Price Moment Reduction

Dean Menezes

Let $$M_{r,p}^{(d)}(g)={\int }_{{\mathbb{R}}^d}|x{|}^r|g(x){|}^{p}dx,1<p<\infty .$$ Write $p^{\prime }=p/(p-1)$ and ${\omega }_d=|B(0,1)|$. A direct step in the Wigderson--Wigderson moment method as…