Paz Hashash

collaborators

4 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 $I^¼$ an $s$ -regular Ahlfors measure. Let $Y$ be a metric space. We prove that for Besov functions $u \in B_{q, \infty}^{r} (X, I^¼; Y)$ , every point is a {\i…

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 $L^{q, I^^{3}}$ are obtained fo…

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.AP2025

$L^{1}$ -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…

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

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