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Matematicheskie Zametki, 2023, Volume 114, Issue 5, paper published in the English version journal (Mi mzm14155)  
Papers published in the English version of the journal

Regularity of Distributions of Sobolev Mappings in Abstract Settings

E. D. Kosovab

a HSE University, Moscow
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract: The paper studies the regularity properties of images of Fomin differentiable measures under mappings in Sobolev classes. The obtained results generalize recently obtained bounds in Gaussian case to more abstract settings.
Keywords: total variation distance, Kantorovich–Rubinstein distance, Sobolev space.
Funding agency Grant number
Russian Science Foundation 22-11-00015
This work was financially supported by the Russian Science Foundation, project 22-11-00015, https://rscf.ru/en/project/22-11-00015/.
Received: 14.09.2023
Revised: 14.09.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 5, Pages 862–874
DOI: https://doi.org/10.1134/S0001434623110214
Bibliographic databases:
Document Type: Article
Language: English
Citation: E. D. Kosov, “Regularity of Distributions of Sobolev Mappings in Abstract Settings”, Math. Notes, 114:5 (2023), 862–874
Citation in format AMSBIB
\Bibitem{Kos23}
\by E.~D.~Kosov
\paper Regularity of Distributions of Sobolev Mappings in Abstract Settings
\jour Math. Notes
\yr 2023
\vol 114
\issue 5
\pages 862--874
\mathnet{http://mi.mathnet.ru/mzm14155}
\crossref{https://doi.org/10.1134/S0001434623110214}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4725323}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85187912209}
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