On real-valued homogeneous polynomials with many variables

DOI10.1090/PROC/16406zbMath1528.26020OpenAlexW4317254575MaRDI QIDQ6039980

Katiuscia B. Teixeira, Anselmo jun. Raposo

Publication date: 24 May 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/16406

zbMATH Keywords

homogeneous polynomialsBohnenblust-Hille inequalityreal scalars

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Inequalities for trigonometric functions and polynomials (26D05) Real polynomials: analytic properties, etc. (26C05)

Cites Work

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• The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
• On the real polynomial Bohnenblust-Hille inequality
• Polynomials in many variables: Real vs complex norms
• There exist multilinear Bohnenblust-Hille constants \((C_n)^\infty_{n=1}\) with \(\lim_{n\to \infty}(C_{n+1} -C_n)=0\)
• A note on the polynomial Bohnenblust-Hille inequality

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