A1 Journal article (refereed)
Tensorization of p-weak differentiable structures (2024)

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

JYU authors or editors

Publication details

All authors or editors: Eriksson-Bique, Sylvester; Rajala, Tapio; Soultanis, Elefterios

Journal or series: Journal of Functional Analysis

ISSN: 0022-1236

eISSN: 1096-0783

Publication year: 2024

Publication date: 07/05/2024

Volume: 287

Article number: 110497

Publisher: Elsevier

Publication country: Netherlands

Publication language: English

DOI: https://doi.org/10.1016/j.jfa.2024.110497

Publication open access: Openly available

Publication channel open access: Partially open access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/95032

Web address of parallel published publication (pre-print):  https://doi.org/10.48550/arXiv.2206.05046

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.

Keywords: metric spaces; functional analysis

Free keywords: Sobolev spaces; sensorization; metric measure spaces; differentiable structures

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Related projects

Ministry reporting: Yes

VIRTA submission year: 2024

Preliminary JUFO rating: 2