46 citations · 55 across the 14 of their papers we have counts for
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math.AP2022★ 1 cited
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces
Galia Dafni, Chun Ho Lau, Tiago Picon +1
In this work we present necessary cancellation conditions for the continuity of linear operators in , , that map atoms into pseudo-molecules. Our nece…
math.AP2022
Local vanishing mean oscillation
Almaz Butaev, Galia Dafni
We consider various notions of vanishing mean oscillation on a (possibly unbounded) domain , and prove an analogue of Sarason's theorem, giving sufficient co…
math.FA2022★ 1 cited
Vanishing Mean Oscillation and Continuity of Rearrangements
Almut Burchard, Galia Dafni, Ryan Gibara
We study the decreasing rearrangement of functions in VMO, and show that for rearrangeable functions, the mapping f -> f* preserves vanishing mean oscillation. Moreover, as a map o…