A step towards the tensorization of Sobolev spaces

Authors

  • Silvia Ghinassi Shoreline Community College, Math Department
  • Vikram Giri ETH Zürich, Department of Mathematics
  • Elisa Negrini University of California Los Angeles, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.177193

Keywords:

Sobolev space, metric space, doubling, Cartesian product, warped product

Abstract

We prove that Sobolev spaces on Cartesian and warped products of metric spaces tensorize, only requiring that one of the factors is a doubling space supporting a Poincaré inequality.

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Published

2025-11-12

Issue

Vol. 50 No. 2 (2025)

Section

Articles

License

Copyright (c) 2025 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Ghinassi, S., Giri, V., & Negrini, E. (2025). A step towards the tensorization of Sobolev spaces. Annales Fennici Mathematici, 50(2), 721–740. https://doi.org/10.54330/afm.177193