V. I. Bogachev

activity

20082024

collaborators

3 papers

math.FA2024

Compactification of spaces of measures and pseudocompactness

Vladimir I. Bogachev

We prove pseudocompactness of a Tychonoff space $X$ and the space $P (X)$ of Radon probability measures on it with the weak topology under the condition that the Stone-Čec…

math.PR2016

Sobolev-Kantorovich inequalities under $C D (0, \infty)$ condition

V. I. Bogachev, A. V. Shaposhnikov, F. -Yu. Wang

We refine and generalize several interpolation inequalities bounding the $L^{p}$ norm of a probability density with respect to the reference measure $μ$ by its Sobolev norm and the K…

math.GN2008

$k^{*}$ -Metrizable Spaces and their Applications

T. O. Banakh, V. I. Bogachev, A. V. Kolesnikov

In this paper we introduce and study so-called $k^{*}$ -metrizable spaces forming a new class of generalized metric spaces, and display various applications of such spaces in topologi…

Compactification of spaces of measures and pseudocompactness

Sobolev-Kantorovich inequalities under CD(0,∞) condition

k∗-Metrizable Spaces and their Applications

Sobolev-Kantorovich inequalities under $C D (0, \infty)$ condition

$k^{*}$ -Metrizable Spaces and their Applications