Dmitriy Stolyarov

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20242026

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math.CA2024

Maz'ya's $Φ$ -inequalities on domains

Dmitriy Stolyarov

We find necessary and sufficient conditions on the function $Φ$ for the inequality $\int_{Ω} Φ (K * f) ≲ ∥ f ∥_{L_{1} (R^{d})}^{p}$ to be true. Here $K$ is a positive…

math.FA2024

On dimension stable spaces of measures

Daniel Spector, Dmitriy Stolyarov

In this paper, we define spaces of measures $D S_{β} (R^{d})$ with dimensional stability $β \in (0, d)$ . These spaces bridge between $M_{b} (R^{d})$ , the space of finite Radon…

math.CA2024

New Bellman induction and a weak version of $BMO$

Egor Dobronravov, Dmitriy Stolyarov, Pavel Zatitskii

We enlarge the area of applicability of the Bellman function method to estimates in the spirit of the John--Nirenberg inequality abandoning certain convexity assumptions. As an app…

Maz'ya's Φ-inequalities on domains

On dimension stable spaces of measures

New Bellman induction and a weak version of BMO

Maz'ya's $Φ$ -inequalities on domains

New Bellman induction and a weak version of $BMO$