CEU Electronic Theses and Dissertations, 2020
| Author | Kalantzopoulos, Pavlos |
|---|---|
| Title | Equality in some Geometric Inequalities |
| Summary | A simply way to prove Bollobas-Thomason inequality is via the Geometric Brascamp-Lieb inequality due to Liakopoulos. The same author found the dual Bollobas-Thomason as an application of the Reverse Brascamp-Lieb inequality. Here we show the equality case of the Bollobas-Thomason inequality, via the characterization of the equality case of Geometric Brascamp-Lieb inequality due to Valdimarsson. In addition, we give a partial characterization of the equality case of the Reverse Brascamp-Lieb inequality. This allows us to have the equality case of the dual Bollobas-Thomason inequality. |
| Supervisor | Böröczky, Károly |
| Department | Mathematics Ps |
| Full text | https://www.etd.ceu.edu/2020/kalantzopoulos_pavlo.pdf |
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