On some restricted inequalities for the iterated Hardy-type operator involving suprema and their applications

Rza Mustafayev, Nevin Bilgiçli, Merve Yılmaz

In this paper we characterize the inequality \begin{equation*} \bigg( \int_0^{\infty} \bigg( \int_0^x \big[ T_{u,b}f^* (t)\big]^r\,dt\bigg)^{\frac{q}{r}} w(x)\,dx\bigg)^{\frac{1}{q…