Egor D. Kosov

activity

20182026

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math.FA2025

Oscillatory integrals with polynomial phase and regularity of distributions

Egor Kosov

We obtain dimension-free estimates for the modulus of continuity of densities of polynomial images of $s$ -concave and product measures. As a consequence, we settle a conjecture of…

math.FA2020

Marcinkiewicz-type discretization of $L^{p}$ -norms under the Nikolskii-type inequality assumption

Egor Kosov

The paper studies the sampling discretization problem for integral norms on subspaces of $L^{p} (μ)$ . Several close to optimal results are obtained on subspaces for which certain Niko…

Oscillatory integrals with polynomial phase and regularity of distributions

Marcinkiewicz-type discretization of Lp-norms under the Nikolskii-type inequality assumption

Marcinkiewicz-type discretization of $L^{p}$ -norms under the Nikolskii-type inequality assumption