A. Poliakovsky

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20242026

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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.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…

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

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

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

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

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