G. Dafni

activity

20062024

J N_{p}

: nontriviality and duality

46 citations · 55 across the 14 of their papers we have counts for

collaborators

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3 papers · 1 filter

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 $h^{p} (R^{n})$ , $0 < p \leq 1$ , 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 $Ω \subset R^{n}$ , and prove an analogue of Sarason's theorem, giving sufficient co…

math.AP2006

Classes of Measures Generated by Capacities

G. Dafni, G. E. Karadzhov, J. Xiao

We introduce classes of measures in the half-space $R_{+}^{n + 1},$ generated by Riesz, or Bessel, or Besov capacities in $R^{n}$ , and give a geometric characterization…