Almut Burchard, Galia Dafni, Ryan Gibara
Published 2020-10-28Version 1
We derive bounds on the mean oscillation of the decreasing rearrangement $f^*$ on $\mathbb{R}_+$ in terms of the mean oscillation of $f$ on a suitable measure space $X$. In the special case of a doubling metric measure space, the bound depends only on the doubling constant.
Fractional operators and their commutators on generalized Orlicz spaces
The Note on the Closure of Continuous Functions in Variable-Exponent Lebesgue Spaces for Multiple Variables
ODE to $L^p$ norms
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