14 citations · 20 across the 13 of their papers we have counts for
15 papers
Fine properties of Besov functions in metric spaces
Paz Hashash, Arkady Poliakovsky
Let be a metric space and an -regular Ahlfors measure. Let be a metric space. We prove that for Besov functions , every point is a {\it…
BMO-Interpolations and Jump Detection for Functions in
Paz Hashash, Arkady Poliakovsky
A generalization of the John--Nirenberg inequality is established. As a consequence, local and global --interpolation inequalities in Lorentz spaces are obtained for…
Approximations in Besov Spaces and Jump Detection of Besov Functions with Bounded Variation
Paz Hashash, Arkady Poliakovsky
In this paper, we provide a proof that functions belonging to Besov spaces , , , satisfy the following form…
Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions
Paz Hashash, Arkady Poliakovsky
In this paper we analyse functions in Besov spaces , and functions in fractional Sobolev spaces $W^{r,q}(\mathbb{R}^N…
Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung
Arkady Poliakovsky
We provide answers to some questions raised in a recent work by H. Brezis, J. Van Schaftingen and Po-Lam Yung concerning the Gagliardo semi-norm computed at …
On a variational approach to the Navier-Stokes Equations
Arkady Poliakovsky
Weak solutions of incompressible Navier-Stokes Equations re-obtained variationally