S. G. Basalaev, “The Poincaré inequality for <nobr>$C^{1,\alpha}$</nobr>-smooth vector fields”, Sibirsk. Mat. Zh., 2014, Volume 55, Number 2,Pages <nobr>267

This article is cited in 1 paper

The Poincaré inequality for $C^{1,\alpha}$-smooth vector fields

S. G. Basalaev

Novosibirsk State University, Novosibirsk, Russia

Abstract: We obtain the Poincaré inequality for the equiregular Carnot–Carathéodory spaces spanned by vector fields with Hölder class derivatives.

Keywords: Carnot–Carathéodory space, Poincaré inequality, embedding theorems.

UDC: 517.518.23

Received: 23.09.2013