Operators of Change of Variables in Weighted Sobolev Spaces on Carnot Groups


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Abstract

We study mappings inducing bounded composition operators on weighted Sobolev spaces on Carnot groups. We give an analytical description of such mappings in terms of the integrability of weighted distortion function. Bibliography: 17 titles.

About the authors

N. A. Evseev

Novosibirsk State University

Author for correspondence.
Email: nikita@phys.nsu.ru
Russian Federation, 2, ul. Pirogova, Novosibirsk, 630090

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