A. Tyulenev

activity

20142026

most citedSome new function spaces of variable smoothness

12 citations · 22 across the 11 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.FA2021★ 5 cited

Almost sharp descriptions of traces of Sobolev $W_{p}^{1} (R^{n})$ -spaces to arbitrary compact subsets of $R^{n}$ . The case $p \in (1, n]$

Alexander Tyulenev

Let $S \subset R^{n}$ be an arbitrary nonempty compact set such that the $d$ -Hausdorff content $H_{\infty}^{d} (S) > 0$ for some $d \in (0, n]$ . For each $p \in (\…

math.FA2021

Some porosity-type properties of sets related to the $d$ -Hausdorff content

Alexander Tyulenev

Let $S \subset R^{n}$ be a nonempty set. Given $d \in [0, n)$ and a cube $Q \subset R^{n}$ with $l = l (Q) \in (0, 1]$ , we show that if the $d$ -H…

Almost sharp descriptions of traces of Sobolev Wp1​(Rn)-spaces to arbitrary compact subsets of Rn. The case p∈(1,n]

Some porosity-type properties of sets related to the d-Hausdorff content

Almost sharp descriptions of traces of Sobolev $W_{p}^{1} (R^{n})$ -spaces to arbitrary compact subsets of $R^{n}$ . The case $p \in (1, n]$

Some porosity-type properties of sets related to the $d$ -Hausdorff content