4 problems

Let $p>1$, let $\alpha>1$, let $0<s<1$, let $\mu$ be a positive Borel measure on the open unit disc $\mathbb D$, and let $F(p,p\alpha-2,s)$ and ${\mathfrak T}_{s,p}^{\infty}(\mu)$…

Let $p>1$, let $0<s<1$, let $\mu$ be a positive Borel measure on the open unit disc $\mathbb D$, and let $F(p,p-2,s)$ and ${\mathcal T}_{s,p}^p(\mu)$ denote the function and tent s…

Let $0<s<1$ and let $\mu$ be a positive Borel measure on the open unit disc $\mathbb D$. The spaces ${\mathcal Q}_s$ and ${\mathcal T}_{s,2}^2(\mu)$ are linked by the identity map…

GLW's conjecture. The description obtained for boundedness of $A_{\mu,s}:H^p\rightarrow L^q(\mathbb{S}_n)$ should hold for all possible values of $p,q,s$.