Rubio de Francia's extrapolation theory: estimates for the distribution function

María J. Carro, Javier Soria, Rodolfo H. Torres

Let $T$ be an arbitrary operator bounded from $L^{p_0}(w)$ into $L^{p_0,\infty }(w)$ for every weight $w$ in the Muckenhoupt class $A_{p_0}$. It is proved in this article that the…