Ryan Gibara

activity

20192023

most citedBMO on shapes and sharp constants

5 citations · 6 across the 5 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.FA2020

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 $X$ with a fixed collection $G$ of measurable sets of positive and finite measure, consisting of…

math.FA2020

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 $R^{n}$ . For the decreasing rearrangement $f^{*}$ of a rearrang…

math.FA2020

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 $f^{*}$ on $R_{+}$ in terms of the mean oscillation of $f$ on a suitable measure space $X$ . In the spe…

math.FA2020

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 $R^{n}$ . We prove that for bases of shapes with an engulfing property, the corresponding…