2 problems

Variable-exponent conjecture. Theorems concerning multiplicity for … should remain valid when $q$ is replaced by a variable exponent $q$.

Let $\Gamma$ be a simple Carleson curve, let $w:\Gamma\to[0,\infty]$ be a weight, and let $p:\Gamma\to(1,\infty)$ be continuous and satisfy the Dini–Lipschitz condition. Let…