S. Tikhonov

activity

20052023

most citedNikolskii inequality and functional classes on compact Lie groups

9 citations · 47 across the 25 of their papers we have counts for

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math.AP2018

Weighted gradient inequalities and unique continuation problems

laura De Carli, Dmitry Gorbachev, Sergey Tikhonov

We use Pitt inequalities for the Fourier transform to prove the following weighted gradient inequality $$ \|e^{-τ\ell(\cdot)} u^{\frac 1q} f\|_q\leq c_τ\| e^{-τ\ell(\cdot)} v^{\fra…

math.AP2012

Regularity of the Monge-Ampère equation in Besov's space

Alexander V. Kolesnikov, Sergey Yu. Tikhonov

Let $μ = e^{- V} d x$ be a probability measure and $T = \nablaΦ$ be the optimal transportation mapping pushing forward $μ$ onto a log-concave compactly supported measure $ν= e^{-W}…