A Bourgain-Brezis’s duality argument for continuous primitives

Authors

  • Annalisa Baldi Dipartimento di Matematica, Università di Bologna
  • Bruno Franchi Dipartimento di Matematica, Università di Bologna

DOI:

https://doi.org/10.6092/issn.2240-2829/21054

Keywords:

Differential forms, Poincaré inequalities, homotopy formula, currents

Abstract

In this note we collect some results in ℝn about global Poincaré inequalities for differential forms obtained in a joint research with Pierre Pansu and presented by the authors in two seminars held in Bologna respectively in 2023 and 2024. At the end of the note we comment some very new results obtained in the Heisenberg groups ℍn.

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Published

2025-01-08

How to Cite

Baldi, A., & Franchi, B. (2024). A Bourgain-Brezis’s duality argument for continuous primitives. Bruno Pini Mathematical Analysis Seminar, 15(1), 38–59. https://doi.org/10.6092/issn.2240-2829/21054

Issue

Vol. 15 No. 1 (2024): Seminars 2024

Section

Articles

License

Copyright (c) 2024 Annalisa Baldi, Bruno Franchi

Creative Commons License

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