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- W2185451420 abstract "The search for sharp constants for inequalities of the type Lit- tlewood's 4/3 and Bohnenblust-Hille, besides its pure mathematical interest, has shown unexpected applications in many different fields, such as Analytic Number Theory, Quantum Information Theory, or (for instance) in deep re- sults on the n-dimensional Bohr radius. The recent estimates obtained for the multilinear Bohnenblust-Hille inequality (in the case of real scalars) have been recently used, as a crucial step, by A. Montanaro in order to solve problems in the theory of quantum XOR games. Here, among other results, we obtain new upper bounds for the Bohnenblust-Hille constants in the case of complex scalars. For bilinear forms, we obtain the optimal constants of variants of Lit- tlewood's 4/3 inequality (in the case of real scalars) when the exponent 4/3 is replaced by any r � 4 . As a consequence of our estimates we show that the optimal constants for the real case are always strictly greater than the constants for the complex case." @default.
- W2185451420 created "2016-06-24" @default.
- W2185451420 creator A5081575115 @default.
- W2185451420 date "2012-01-01" @default.
- W2185451420 modified "2023-09-27" @default.
- W2185451420 title "ON THE BOHNENBLUST-HILLE INEQUALITY AND A VARIANT OF LITTLEWOOD'S 4/3 INEQUALITY" @default.
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