The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights

David Cruz-Uribe, Estefania Dalmasso, Francisco Martin-Reyes +1

We characterize the weights for the Stieltjes transform and the Calderón operator to be bounded on the weighted variable Lebesgue spaces $L_w^{p(\cdot )}(0,\infty )$, assuming that t…