On multivariate Matsaev's conjecture (Q2181145)

The author considers Matsaev's conjecture (see [\textit{N. K. Nikol'skij}, J. Sov. Math. 2, 441--450 (1974; Zbl 0283.47004)]) in various multivariate settings. Indeed, the author studies multivariate generalizations of Matsaev's conjecture in commutative and non-commutative \(L^p\)-spaces and proves that the multivariate analogue of Matsaev's conjecture is false for all \(1 < p < \infty\).