Sharp values for the constants in the polynomial Bohnenblust-Hille inequality.
In this paper we prove that the complex polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in C2 is exactly 4q 3 2 . We also give the exact value of the real polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in R2. Finally, we provide lower estimates for the real p...
| Autores: | , , , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/35033 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/35033 |
| Access Level: | acceso abierto |
| Palabra clave: | 517.98 Absolutely summing operators Bohnenblust–Hille constants Quantum Information Theory Análisis funcional y teoría de operadores |
| Sumario: | In this paper we prove that the complex polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in C2 is exactly 4q 3 2 . We also give the exact value of the real polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in R2. Finally, we provide lower estimates for the real polynomial Bohnenblust-Hille constant for polynomials in R2 of higher degrees. |
|---|