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

collaborators

Showing 2014Show all

2 papers · 1 filter

math.CA2014★ 2 cited

Reverse Hölder's inequality for spherical harmonics

Feng Dai, Han Feng, Sergey Tikhonov

This paper determines the sharp asymptotic order of the following reverse Hölder inequality for spherical harmonics $Y_{n}$ of degree $n$ on the unit sphere $S^{d - 1}$ of $\m…

math.FA2014

Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds

Erlan Nursultanov, Michael Ruzhansky, Sergey Tikhonov

In this paper we prove Nikolskii's inequality on general compact Lie groups and on compact homogeneous spaces with the constant interpreted in terms of the eigenvalue counting func…