46 citations · 55 across the 14 of their papers we have counts for
4 papers · 1 filter
BMO and the John-Nirenberg Inequality on Measure Spaces
Galia Dafni, Ryan Gibara, Andrew Lavigne
We study the space BMO in the general setting of a measure space with a fixed collection of measurable sets of positive and finite measure, consisting of…
Mean oscillation bounds on rearrangements
Almut Burchard, Galia Dafni, Ryan Gibara
We use geometric arguments to prove explicit bounds on the mean oscillation for two important rearrangements on . For the decreasing rearrangement of a rearrang…
A note on decreasing rearrangement and mean oscillation on measure spaces
Almut Burchard, Galia Dafni, Ryan Gibara
We derive bounds on the mean oscillation of the decreasing rearrangement on in terms of the mean oscillation of on a suitable measure space . In the spe…
Geometric maximal operators and BMO on product bases
Galia Dafni, Ryan Gibara, Hong Yue
We consider the problem of the boundedness of maximal operators on BMO on shapes in . We prove that for bases of shapes with an engulfing property, the corresponding…