A. A. Belyaev

activity

20182022

collaborators

4 papers

math.FA2022

Multipliers in the scale of periodic Bessel potential spaces with smoothness indices of different signs

Alexei A. Belyaev, Andrei A. Shkalikov

We prove a general type description result for the multipliers acting between two periodic Bessel potential spaces, defined on the $n$ --dimensional torus, in a case when their smoo…

math.FA2022

Multipliers in the Bessel potential spaces with positive smoothness indices: bilateral continuous embeddings and their exact character

Alexei A. Belyaev

We investigate the problem of establishing bilateral continuous embeddings of the uniformly localized Bessel potential spaces $H_{r, u ni f}^{γ} (R^{n})$ into the multiplier s…

math.FA2019

Sharp embeddings of uniformly localized Bessel potential spaces into multiplier spaces

Alexei A. Belyaev, Andrei A. Shkalikov

For $p > 1, γ \in R$ , denote by $H_{p}^{γ} (R^{n})$ the Bessel potential space, by $H_{p, u ni f}^{γ} (R^{n})$ the corresponding uniformly localized Bessel potential sp…

math.FA2018

Multipliers in Bessel potential spaces. The case of different sign smooth indices

A. A. Belyaev, A. A. Shkalikov

The objective of this paper is to describe the space of multipliers acting from a Bessel potential space $H_{p}^{s} (R^{n})$ into another space $H_{q}^{- t} (R^{n})$ , provided t…