A step towards the tensorization of Sobolev spaces

Författare

  • 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

Nyckelord:

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.

Nedladdningar

Publicerad

2025-11-12

Nummer

Vol 50 Nr 2 (2025)

Sektion

Articles

Licens

Copyright (c) 2025 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

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