Extrapolation in the scale of generalized reverse H\"older weights

22 Jun 2017  ·  Anderson Theresa C., Cruz-Uribe David, Moen Kabe ·

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.

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Classical Analysis and ODEs