Publication: Sharp values for the constants in the polynomial Bohnenblust-Hille inequality.
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Publication Date
2015
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Taylor & Francis
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Abstract
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.