A step towards the tensorization of Sobolev spaces

Kirjoittajat

  • 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

Avainsanat:

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

Abstrakti

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.

Tiedostolataukset

Julkaistu

2025-11-12

Numero

Vol 50 Nro 2 (2025)

Osasto

Articles

Lisenssi

Copyright (c) 2025 Annales Fennici Mathematici

Creative Commons License

Tämä työ on lisensoitu Creative Commons Nimeä-EiKaupallinen 4.0 Kansainvälinen Julkinen -lisenssillä.

Viittaaminen

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