A. Tyulenev

activity

20152020

most citedOn various approaches to Besov-type spaces of variable smoothness

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.FA2020

Restrictions of Sobolev $W_{p}^{1} (R^{2})$ -spaces to planar rectifiable curves

Alexander Tyulenev

We construct explicit examples of Frostman-type measures concentrated on arbitrary planar rectifiable curves of positive length. Based on such constructions we obtain for each $p \…

math.FA2016

Besov-type spaces of variable smoothness on rough domains

A. I. Tyulenev

The paper puts forward new Besov spaces of variable smoothness $B_{p, q}^{φ_{0}} (G, {t_{k}})$ and $B_{p, q, r}^{l} (Ω, {t_{k}})$ on rough domains. A~domain~ $G$ is either…

math.FA2015★ 1 cited

On various approaches to Besov-type spaces of variable smoothness

A. I. Tyulenev

The paper is concerned with Besov spaces of variable smoothness $B_{p, q}^{φ_{0}} (R^{n}, {t_{k}})$ , in which the norms are defined in terms of convolutions with smooth fun…

Restrictions of Sobolev Wp1​(R2)-spaces to planar rectifiable curves

Besov-type spaces of variable smoothness on rough domains

On various approaches to Besov-type spaces of variable smoothness

Restrictions of Sobolev $W_{p}^{1} (R^{2})$ -spaces to planar rectifiable curves