Littlewood--Paley characterizations of $\mathrm{BMO}$ and Triebel--Lizorkin spaces

Anton Tselishchev, Ioann Vasilyev

We prove one generalization of the Littlewood--Paley characterization of the $\mathrm{BMO}$ space where the dilations of a Schwartz function are replaced by a family of functions w…