2 problems

Singular integral conjecture. Under these inequalities, the singular integral operator $S$ is bounded on $L^{p(\cdot)}(\Gamma,\varphi_{t,\gamma})$. The conjecture is motivated by t…

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…