Tensorization of p-weak differentiable structures
Abstract
We consider p-weak differentiable structures that were recently introduced in [9], and prove that the product of p-weak charts is a p-weak chart. This implies that the product of two spaces with a p-weak differentiable structure also admits a p-weak differentiable structure. We make partial progress on the tensorization problem of Sobolev spaces by showing an isometric embedding result. Further, we establish tensorization when one of the factors is PI.
Main Authors
Format
Articles
Research article
Published
2024
Series
Subjects
Publication in research information system
Publisher
Elsevier
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202405223796Use this for linking
Review status
Peer reviewed
ISSN
0022-1236
DOI
https://doi.org/10.1016/j.jfa.2024.110497
Language
English
Published in
Journal of Functional Analysis
Citation
- Eriksson-Bique, S., Rajala, T., & Soultanis, E. (2024). Tensorization of p-weak differentiable structures. Journal of Functional Analysis, 287, Article 110497. https://doi.org/10.1016/j.jfa.2024.110497
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Funder(s)
Research Council of Finland
Research Council of Finland
Funding program(s)
Postdoctoral Researcher, AoF
Academy Project, AoF
Tutkijatohtori, SA
Akatemiahanke, SA
Additional information about funding
The first author was partially supported by the Finnish Academy under Research postdoctoral Grant No. 330048. The second author was partially supported by the Finnish Academy, Grant No. 314789. The third author was supported by the Swiss National Science Foundation Grant 182423.
Copyright© 2024 The Author(s). Published by Elsevier Inc.