Abstract
We extend to multipolynomials the method established by Diniz (Proc Am Math Soc 142:575–580, 2014) and Campos et al. (Linear Algebra Appl 465:391–400, 2015) for finding lower bounds for the constants in the multilinear and polynomial Bohnenblust–Hille inequalities for the case of real scalars.
Similar content being viewed by others
References
Campos, J.R., Jiménez-Rodríguez, P., Muñoz-Fernández, G.A., Pellegrino, D., Seoane-Sepúlveda, J.B.: On the real polynomial Bohnenblust–Hille inequality. Linear Algebra Appl. 465, 391–400 (2015)
Chernega, I., Zagorodnyuk, A.: Generalization of the polarization formula for nonhomogeneous polynomials and analytic mappings on Banach spaces. Topology 48, 197–202 (2009)
Diniz, D., Muñoz-Fernández, G.A., Pellegrino, D., Seoane-Sepúlveda, J.B.: Lower bounds for the constants in the Bohnenblust–Hille inequality: the case of real scalars. Proc. Am. Math. Soc. 142, 575–580 (2014)
Tomaz, D.: Hardy–Littlewood inequalities for multipolynomials. Adv. Oper. Theory 4, 688–697 (2019)
Velanga, T.: Ideals of polynomials between Banach spaces revisited. Linear Multilinear Algebra 66, 2328–2348 (2018)
Velanga, T.: Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula. Linear Multilinear Algebra. (2019). https://doi.org/10.1080/03081087.2019.1634672
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Velanga, T. Lower bounds for the constants in the real multipolynomial Bohnenblust–Hille inequality. Rend. Circ. Mat. Palermo, II. Ser 70, 247–251 (2021). https://doi.org/10.1007/s12215-020-00494-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12215-020-00494-6