1 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
Locally uniform domains and extension of bmo functions
Almaz Butaev, Galia Dafni
We prove that for a domain , being in the sense of Jones is equivalent to being an extension domain for bmo, the nonhonomogeneous version of the…
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…
On some refinements of the embedding of critical Sobolev spaces into BMO
Almaz Butaev
We introduce the non-homogeneous analogs of Van Schaftingen's classes. We show that these classes refine the embedding . The analogous results established on bo…