3 problems

Let $p$ be in a suitable range with $p\gg 2$, and let denote the main square-function inequality for the operators considered in the paper. Square-function conjecture. The inequali…

Rubio de Francia's conjecture. The inequality above should hold for every compact connected abelian group $G$ and all $1<p,q<\infty$.

Let $\cN \subset \cM \subset \cH_k \otimes \cE$ be two non-zero closed subspaces represented as $\cM = \Phi \cdot (\cH_s \otimes \cF)$ and $\cN = \Psi \cdot (\cH_s \otimes \cG)$ by…