6 problems

Let $1<p\leq q<\infty$, let $w$ be a weight, and let $M$ denote the Hardy–Littlewood maximal operator. Let $T$ range over all Calderón–Zygmund operators and let $R_j$,…

Morrey–block duality conjecture. If

Let $\phi$ be a generalized $\Phi$-function, let $\phi^*$ be its complementary function, and define … Assume that $\phi^*$ satisfies the $\Delta_2$ condition and that $\phi$ satisf…

Let $\phi$ be a generalized $\Phi$-function, let $\phi^*$ be its complementary generalized $\Phi$-function, and let $M$ denote the Hardy–Littlewood maximal operator. Assume that bo…

Let $1<p<\infty$, let $\varphi_p$ be the extremal function, and let $\mathscr{Z}(\varphi_p)$ be its zero set. Write $\operatorname{dist}(x,\mathscr{Z}(\varphi_p)\cup\{0\})$ for the…

Let $1<p<\infty$ and let $W=(w_{ij})\colon \mathbb{R}^n\times \mathbb{R}^m\to\mathbb{C}^{N\times N}$ be a matrix weight in the set of Muckenhoupt weights…