Extrapolation in the scale of generalized reverse H\"older weights
Classical Analysis and ODEs
2017-06-26 v2
Abstract
We develop a theory of extrapolation for weights that satisfy a generalized reverse H\"older 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.
Cite
@article{arxiv.1605.00922,
title = {Extrapolation in the scale of generalized reverse H\"older weights},
author = {Theresa C. Anderson and David Cruz-Uribe and Kabe Moen},
journal= {arXiv preprint arXiv:1605.00922},
year = {2017}
}
Comments
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