Paz Hashash

activity

20212026

most citedJumps in Besov spaces and fine properties of Besov and fractional Sobolev functions

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 papers

math.FA2026

Fine properties of Besov functions $B_{q, \infty}^{r}$ in metric spaces

Paz Hashash, Arkady Poliakovsky

Let $X$ be a metric space and $μ$ an $s$ -regular Ahlfors measure. Let $Y$ be a metric space. We prove that for Besov functions $u \in B_{q, \infty}^{r} (X, μ; Y)$ , every point is a {\it…

math.FA2025

BMO-Interpolations and Jump Detection for Functions in $B V \cap B M O$

Paz Hashash, Arkady Poliakovsky

A generalization of the John--Nirenberg inequality is established. As a consequence, local and global $B M O$ --interpolation inequalities in Lorentz spaces $L^{q, γ}$ are obtained for…

math.AP2025

The refined area formula for Sobolev mappings $W^{k, p}$

Paz Hashash

We establish the area formula for change-of-variable mappings in the Sobolev space $W_{loc}^{k, p}$ . Our approach relies on constructing Lipschitz approximations of Sobolev f…

math.AP2024

$L^{1}$ -Contraction Property of Entropy Solutions for Scalar Conservation Laws with Minimal Regularity Assumptions on the Flux

Paz Hashash

This paper is concerned with entropy solutions of scalar conservation laws of the form $\partial_{t}u+\diver f=0$ in $R^{d} \times (0, \infty)$ . The flux $f = f (x, u)$ depends exp…

math.FA2024

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 $B_{q, \infty}^{r} (R^{N}, R^{d})$ , $q \in [1, \infty)$ , $r \in (0, 1)$ , satisfy the following form…

math.CA2023★ 1 cited

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 $B_{q, \infty}^{1/ q} (R^{N}, R^{d}), q \in (1, \infty)$ , and functions in fractional Sobolev spaces $W^{r,q}(\mathbb{R}^N…

math.AP2022

On differentiability of Sobolev functions with respect to the Sobolev norm

Vladimir Gol'dshtein, Paz Hashash, Alexander Ukhlov

We study connections between the $W_{p}^{1}$ -differentiability and the $L_{p}$ -differentiability of Sobolev functions. We prove that, $W_{p}^{1}$ -differentiability implies the $L_{p}$ -differen…

math.AP2021

On Lipschitz approximations in second order Sobolev spaces and the change of variables formula

Paz Hashash, Alexander Ukhlov

In this paper we study approximations of functions of Sobolev spaces $W^2_{p,\loc}(Ω)$, $Ω \subset R^{n}$ , by Lipschitz continuous functions. We prove that if $f\in W^2_{p,\loc…

Fine properties of Besov functions Bq,∞r​ in metric spaces

BMO-Interpolations and Jump Detection for Functions in BV∩BMO

The refined area formula for Sobolev mappings Wk,p

L1-Contraction Property of Entropy Solutions for Scalar Conservation Laws with Minimal Regularity Assumptions on the Flux

Approximations in Besov Spaces and Jump Detection of Besov Functions with Bounded Variation

Jumps in Besov spaces and fine properties of Besov and fractional Sobolev functions

On differentiability of Sobolev functions with respect to the Sobolev norm

On Lipschitz approximations in second order Sobolev spaces and the change of variables formula

Fine properties of Besov functions $B_{q, \infty}^{r}$ in metric spaces

BMO-Interpolations and Jump Detection for Functions in $B V \cap B M O$

The refined area formula for Sobolev mappings $W^{k, p}$

$L^{1}$ -Contraction Property of Entropy Solutions for Scalar Conservation Laws with Minimal Regularity Assumptions on the Flux