Isomorphisms of Sobolev spaces on Carnot groups and quasi-isometric mappings

被引：11

作者：

Vodop'yanov, S. K. ^{[1
]}

Evseev, N. A. ^{[1
]}

机构：

[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2014年 / 55卷 / 05期

关键词：

superposition operator; Sobolev space; quasi-isometry; Carnot group; TRANSFORMATIONS;

D O I：

10.1134/S0037446614050048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the properties of the mappings on a Carnot group which induce, via the change-of-variables rule, the isomorphisms of Sobolev spaces with the summability exponent different from the Hausdorff dimension of the group.

引用

页码：817 / 848

页数：32

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