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A note on the polynomial Bohnenblust-Hille inequality by Nuñez-Alarcón, Daniel is a scholarly article available to read on EtoBox.

What is A note on the polynomial Bohnenblust-Hille inequality about?

Recently, in paper published in the Annals of Mathematics, it was shown that the Bohnenblust-Hille inequality for (complex) homogeneous polynomials is hypercontractive. However, and to the best of our knowledge, there is no result providing (nontrivial) lower bounds for the optimal constants for n-homogeneous polynomials (n > 2). In this short note we provide lower bounds for these famous constants.

Author

Nuñez-Alarcón, Daniel

Published

2012

Language

EN