Title: Weighted estimates in a limited range with applications to the Bochner-Riesz operators

Authors: Maria J. Carro, Javier Duoandikoetxea and Maria Lorente

Issue: Volume 61 (2012), Issue 4, 1485-1511


From weighted inequalities for weights in subsets of $A_p$ classes, we deduce two kinds of weighted estimates, from $L^p(u)$ to $L^{q,\infty}(v)$ and from the weighted Lorentz space $\Lambda^p(w)$ to $\Lambda^{p,\infty}(w)$. The applications include the Bochner-Riesz operators and some others. We also consider the results in the case of one-sided operators.