RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Sib. J. Pure and Appl. Math.: Year: Volume: Issue: Page: Find

 Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2015, Volume 15, Issue 3, Pages 61–68 (Mi vngu376)

Change of variables operators in weighted Sobolev spaces on Carnot groups

N. A. Evseev

Novosibirsk State University

Abstract: We study mappings inducing a bounded composition operator on weighted Sobolev spaces on Carnot groups. An analytical description of these mappings is given in terms of integrability of weighted distortion function. For the special cases we prove that mapping which generates a bounded composition operator is partially absolutely continuous on almost all horizontal lines.

Keywords: composition operators, weighted Sobolev spaces on Carnot groups.

 Funding Agency Grant Number Russian Foundation for Basic Research 14-01-00768 Ministry of Education and Science of the Russian Federation ÍØ-2263.2014.1

DOI: https://doi.org/10.17377/PAM.2015.15.305

Full text: PDF file (236 kB)
References: PDF file   HTML file

Document Type: Article
UDC: 517.518.23

Citation: N. A. Evseev, “Change of variables operators in weighted Sobolev spaces on Carnot groups”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:3 (2015), 61–68

Citation in format AMSBIB
\Bibitem{Evs15} \by N.~A.~Evseev \paper Change of variables operators in weighted Sobolev spaces on Carnot groups \jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. \yr 2015 \vol 15 \issue 3 \pages 61--68 \mathnet{http://mi.mathnet.ru/vngu376} \crossref{https://doi.org/10.17377/PAM.2015.15.305}