Let be an -linear form defined on a product of -spaces and let . We investigate the best exponent such that the sequence of coefficients of belongs to . The cases and is the diagonal of are already known. We study the intermediate cases using notions like combinatorial dimension of sets, multiple summing maps and random polynomials.
Cite this article
Frédéric Bayart, Summability of the coefficients of a multilinear form. J. Eur. Math. Soc. 24 (2022), no. 4, pp. 1161–1188DOI 10.4171/JEMS/1109