Lipschitz Functions on Submanifolds of Heisenberg Groups
Julia, A., Nicolussi Golo, S., & Vittone, D. (2023). Lipschitz Functions on Submanifolds of Heisenberg Groups. International Mathematics Research Notices, 2023(9), 7399-7422. https://doi.org/10.1093/imrn/rnac066
Julkaistu sarjassa
International Mathematics Research NoticesPäivämäärä
2023Tekijänoikeudet
© The Author(s) 2022. Published by Oxford University Press.
We study the behavior of Lipschitz functions on intrinsic C1 submanifolds of Heisenberg groups: our main result is their almost everywhere tangential Pansu differentiability. We also provide two applications: a Lusin-type approximation of Lipschitz functions on H-rectifiable sets and a coarea formula on H-rectifiable sets that completes the program started in [18].
Julkaisija
Oxford University Press (OUP)ISSN Hae Julkaisufoorumista
1073-7928Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/147107025
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen AkatemiaRahoitusohjelmat(t)
Akatemiahanke, SALisätietoja rahoituksesta
This work was supported by University of Padova STARS Project “Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New”; the Simons Foundation [grant 601941 to A. J.]; the Academy of Finland [grants 322898 “Sub-Riemannian Geometry via Metric-geometry and Lie-group Theory” and 314172 “Quantitative rectifiability in Euclidean and non-Euclidean spaces” to S. N. G.]; FFABR 2017 of MI ...
Lisenssi
Ellei muuten mainita, aineiston lisenssi on CC BY 4.0