3 problems

Strong summability conjecture. There exists an absolute constant $c$ such that

Let $H_p^{\square}(G_m^2)$ denote the two-dimensional martingale Hardy space and let $M_k$ be the associated scale sequence. For $f$ in these spaces, write…

Let $F_k$ and $G_k$ be the arithmetic Fourier series considered in the paper, and let $q_n(x)$ denote the denominators of the continued-fraction convergents of $x$. Let…