D. Stolyarov

activity

20152023

most citedMartingale transforms of bounded random variables and indicator functions of events

1 citations · 2 across the 11 of their papers we have counts for

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Showing 2021Show all

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math.CA2021

Fractional integration of summable functions: Maz'ya's $Φ$ -inequalities

Dmitriy Stolyarov

We study the inequalities of the type $∣ \int_{R^{d}} Φ (K * f) ∣ ≲ ∥ f ∥_{L_{1} (R^{d})}^{p}$ , where the kernel $K$ is homogeneous of order $α - d$ and possibly vector-v…

math.CA2021★ 1 cited

On $Φ$ -inequalities for martingale fractional integration and their Bellman functions

Dmitriy Stolyarov

Inspired by a conjecture of Vladimir Maz'ya on $Φ$ -inequalities in the spirit of Bourgain and Brezis, we establish some $Φ$ -inequalities for fractional martingale transforms. These…

Fractional integration of summable functions: Maz'ya's Φ-inequalities

On Φ-inequalities for martingale fractional integration and their Bellman functions

Fractional integration of summable functions: Maz'ya's $Φ$ -inequalities

On $Φ$ -inequalities for martingale fractional integration and their Bellman functions