Operators of Change of Variables in Weighted Sobolev Spaces on Carnot Groups
- Authors: Evseev N.A.1
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Affiliations:
- Novosibirsk State University
- Issue: Vol 221, No 6 (2017)
- Pages: 826-832
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/239108
- DOI: https://doi.org/10.1007/s10958-017-3270-2
- ID: 239108
Cite item
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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