Improved Sobolev inequalities on the Heisenberg group

By Annunziata Loiudice. 2005

46 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/87bc6d7f8222b1efd995997e0e4b97d228017271

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. N. Fusco
2. Francesco Maggi
3. Aldo Pratelli
4. Alessio Figalli
5. Andrea Cianchi
6. Y. Zhang
7. Gian Paolo Leonardi
8. Van Hoang Nguyen

In Computational Theory and Mathematics

1. N. Fusco
2. Francesco Maggi
3. Andrea Cianchi
4. Aldo Pratelli
5. Iwona Chlebicka
6. Giuseppe Mingione
7. Robert J. Berman
8. G. Lu

In Mathematical Physics

1. N. Fusco
2. Aldo Pratelli
3. Andrea Cianchi
4. Francesco Maggi
5. Alessio Figalli
6. Iwona Chlebicka
7. Y. Zhang
8. Giulio Ciraolo

Citations in the corpus

• The sharp Sobolev inequality in quantitative form (2009, methodology): “involving Sobolev spaces endowed with a Hilbert space structure ([ Lo , LW]), does not seem suitable for extensions to the general case where p 6= 2. Following the lines traced in [Au] and [Ta], we have instead to resort to certain methods of geometric ∞avour, exploiting such tools as isoperimetric ”