Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets
Magnani, V., & Rajala, T. (2014). Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets. International Mathematics Research Notices, 2014(23), 6399-6430. https://doi.org/10.1093/imrn/rnt171
Julkaistu sarjassa
International Mathematics Research NoticesPäivämäärä
2014Tekijänoikeudet
© The Author(s) 2013. This is a final draft version of an article whose final and definitive form has been published by Oxford University Press. Published in this repository with the kind permission of the publisher.
We prove a Rademacher-type theorem for Lipschitz mappings from a subset
of a Carnot group to a Banach homogeneous group, equipped with a suitably weakened
Radon-Nikodym property. We provide a metric area formula that applies to these mappings
and more generally to all almost everywhere metrically differentiable Lipschitz mappings
defined on a Carnot group.
Julkaisija
Oxford University PressISSN Hae Julkaisufoorumista
1073-7928Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/24022774
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
-
Bochner-integraali ja Radon-Nikodym -ominaisuus
Miettinen, Jani (2022)Tutkielma tarkastelee Banach-avaruuksien vektoriarvoista Bochner-integraalia. Integraali määritellään yksinkertaisille kuvauksille Lebesgue-integraalia ja avaruuden täydellisyyttä käyttäen. Tämän jälkeen tutustutaan ... -
The metric-valued Lebesgue differentiation theorem in measure spaces and its applications
Lučić, Danka; Pasqualetto, Enrico (Birkhäuser, 2023)We prove a version of the Lebesgue differentiation theorem for mappings that are defined on a measure space and take values into a metric space, with respect to the differentiation basis induced by a von Neumann lifting. ... -
On the reflexivity properties of Banach bundles and Banach modules
Lučić, Milica; Pasqualetto, Enrico; Vojnović, Ivana (Birkhäuser, 2024)In this paper, we investigate some reflexivity-type properties of separable measurable Banach bundles over a σ-finite measure space. Our two main results are the following: • The fibers of a bundle are uniformly convex ... -
Lifetime measurements with the Doppler Shift Attenuation Method using a thick homogeneous production target - Verification of the method
Ertoprak, A.; Cederwall, B.; Jakobsson, U.; Nyako, B. M.; Nyberg, J.; Davies, P.; Doncel, M.; De France, G.; Kuti, I.; Napoli, D. R.; Wadsworth, R.; Chugre, S. S.; Raut, R.; Akkus, B.; Al-Azri, H.; Algora, A.; De Angelis, G.; Ata, A.; Bäck, T.; Boso, A.; Clement, E.; Debenham, D. M.; Dombradi, Zs.; Erturk, S.; Gadea, A.; Moradi, F. Ghazi; Gottardo, A.; Huyuk, T.; Ideguchi, E.; Jaworski, G.; Li, H.; Michelagnoli, C.; Modamio, V.; Palacz, M.; Petrache, C. M.; Recchia, F.; Sandzelius, Mikael; Siciliano, M.; Timar, J.; Valiente-Dobon, J. J.; Xiao, Z. G. (Jagellonian University, 2017)Doppler Shift Attenuation Method (DSAM) analysis of excited-state lifetimes normally employs thin production targets mounted on a thick stopper foil (“backing”) serving to slow down and stop the recoiling nuclei of ... -
Regularity properties of spheres in homogeneous groups
Le Donne, Enrico; Nicolussi Golo, Sebastiano (American Mathematical Society, 2018)We study left-invariant distances on Lie groups for which there exists a one-parameter family of homothetic automorphisms. The main examples are Carnot groups, in particular the Heisenberg group with the standard dilations. ...
Ellei toisin mainittu, julkisesti saatavilla olevia JYX-metatietoja (poislukien tiivistelmät) saa vapaasti uudelleenkäyttää CC0-lisenssillä.