2 problems

Let $P$ be the Bergman projection on the unit disk. For $1<p<\infty$, let $q:=p/(p-1)$ be the conjugate exponent and let $\|P\|_p$ denote the operator norm of $P$ on…

Power-improved two-weight conjecture. If $(\mu_1^r,\mu_2^r)\in A_p^+(\mathbb{R}_{+}^2)$ for some $r>1$, then the displayed inequality holds for some $C>0$. This is presented as a v…