On multipolynomial extensions of Kahae-Salem-Zygmund inequality and applications
DOI:
https://doi.org/10.12775/TMNA.2024.041Keywords
Kahae-Salem-Zygmund inequality, multipolynomials, multilinear mappings, homogeneous polynomialsAbstract
Some classical and recent Kahane-Salem-Zygmund inequalities developed into several contexts are extended to multipolynomials. The study compares such extensions to each other to comprehend which of them yields the smallest norm for the associated function. Applications to the multilinear and polynomial scenarios are provided. For instance, a polynomial version of \cite[Corollary 1.2]{pelrap} is given, in which the constants are asymptotically bounded by $1$.References
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