3 problems

Equivalence conjecture for $\Phi_X$ and $\Psi_X$. There exists a nonzero constant $\alpha$ depending on $X$ such that

Rectangle inequality. For all points $u,v\in R$,

Let $R(r,1)$ be the annular ring with $0<r<1$, let $k$ satisfy $r<k<1$, and let $q$ satisfy … For $\mu\in[0,\pi/2]$, consider the two points $qe^{\mu i}+k$ and $qe^{(\pi+\mu)i}+k$…