Extrapolation in the scale of generalized reverse Hölder weights

Abstract

We develop a theory of extrapolation for weights that satisfy a generalized reverse Hölder inequality in the scale of Orlicz spaces. This extends previous results by Auscher and Martell [2] on limited range extrapolation. As an application, we show that a number of weighted norm inequalities for linear and bilinear operators can be proved using our extrapolation theorem.

v2: revision of the main results. The authors would like to thank J.M. Martell for pointing out a mistake in an earlier version of the paper

References in corpus (2)

• Weighted Hardy spaces associated with elliptic operators. Part I: Weighted norm inequalities for conical square functions
• Weighted estimates for bilinear fractional integral operators and their commutators