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 2022Show all

3 papers · 1 filter

math.FA2022

Truncated smooth function spaces

Oscar Domínguez, Sergey Tikhonov

We introduce truncated Besov and Triebel--Lizorkin function spaces and investigate their main properties: embeddings, interpolation, duality, lifting, traces. These new scales allo…

math.NA2022★ 1 cited

On the cardinality of lower sets and universal discretization

F. Dai, A. Prymak, A. Shadrin +2

A set $Q$ in $Z_{+}^{d}$ is a lower set if $(k_{1}, \dots, k_{d}) \in Q$ implies $(l_{1}, \dots, l_{d}) \in Q$ whenever $0 \leq l_{i} \leq k_{i}$ for all $i$ . We derive new and refine known results…

math.CA2022

Hardy-Littlewood-type theorems for Fourier transforms in $R^{d}$

Mikhail Dyachenko, Erlan Nursultanov, Sergey Tikhonov +1

We obtain Fourier inequalities in the weighted $L_{p}$ spaces for any $1 < p < \infty$ involving the Hardy-Cesàro and Hardy-Bellman operators. We extend these results to product Hardy sp…

Truncated smooth function spaces

On the cardinality of lower sets and universal discretization

Hardy-Littlewood-type theorems for Fourier transforms in Rd

Hardy-Littlewood-type theorems for Fourier transforms in $R^{d}$