Vladyslav Yaskin

most citedCentroids and comparison of volumes

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.FA2005★ 1 cited

Centroids and comparison of volumes

V. Yaskin, M. Yaskina

For $- 1 < p < 1$ we introduce the concept of a polar $p$ -centroid body $Γ_{p}^{*} K$ of a star body $K$ . We consider the question of whether $Γ_{p}^{*} K \subset Γ_{p}^{*} L$ implies $\mathrm…

math.FA2005

A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space

V. Yaskin

The lower dimensional Busemann-Petty problem asks whether origin symmetric convex bodies in $R^{n}$ with smaller volume of all $k$ -dimensional sections necessarily have smal…

math.FA2004

The geometry of $L_{0}$

N. J. Kalton, A. Koldobsky, V. Yaskin +1

Suppose that we have the unit Euclidean ball in $R^{n}$ and construct new bodies using three operations - linear transformations, closure in the radial metric and multiplicative sum…

math.FA2004

The Busemann-Petty problem in hyperbolic and spherical spaces

V. Yaskin

The Busemann-Petty problem asks whether origin-symmetric convex bodies in $R^{n}$ with smaller central hyperplane sections necessarily have smaller $n$ -dimensional volume. I…

math.FA2004

Modified Busemann-Petty problem on sections of convex bodies

A. Koldobsky, V. Yaskin, M. Yaskina

The Busemann-Petty problem asks whether origin-symmetric convex bodies in $R^{n}$ with smaller central hyperplane sections necessarily have smaller $n$ -dimensional volume. I…

Centroids and comparison of volumes

A solution to the lower dimensional Busemann-Petty problem in the hyperbolic space

The geometry of L0​

The Busemann-Petty problem in hyperbolic and spherical spaces

Modified Busemann-Petty problem on sections of convex bodies

The geometry of $L_{0}$