5 citations · 6 across the 4 of their papers we have counts for
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A Dyadic Approach to Weak Characterizations of Function Spaces
Galia Dafni, Shahaboddin Shaabani
Weak-type quasi-norms are defined using the mean oscillation or the mean of a function on dyadic cubes, providing discrete analogues and variants of the corresponding quasi-norms o…
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…
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…
BMO on shapes and sharp constants
Galia Dafni, Ryan Gibara
We consider a very general definition of BMO on a domain in , where the mean oscillation is taken with respect to a basis of shapes, i.e. a collection of open sets co…
On the extension of VMO functions
Almaz Butaev, Galia Dafni
We consider functions of vanishing mean oscillation on a bounded domain and prove a analogue of the extension theorem of P. Jones for . We show that if…