7 citations · 37 across the 24 of their papers we have counts for
5 papers · 1 filter
The Bohr radius of the -dimensional polydisk is equivalent to
F. Bayart, D. Pellegrino, J. Seoane-Sepulveda
We show that the Bohr radius of the polydisk behaves asymptotically as . Our argument is based on a new interpolative approach to the Bohnenblust--…
Sharp generalizations of the multilinear Bohnenblust--Hille inequality
N. Albuquerque, F. Bayart, D. Pellegrino +1
We prove that the multilinear Bohnenblust--Hille is a particular case of a quite general family of optimal inequalities.
Grothendieck's theorem for absolutely summing multilinear operators is optimal
Daniel Pellegrino, Juan B. Seoane-Sepulveda
Grothendieck's theorem asserts that every continuous linear operator from to is absolutely -summing. In this note we prove that the optima…
On the optimal multilinear Bohnenblust--Hille constants
D. Nunez-Alarcon, D. Pellegrino, J. B. Seoane-Sepulveda +1
The upper estimates for the optimal constants of the multilinear Bohnenblust--Hille inequality obtained in [J. Funct. Anal. 264 (2013), 429--463] are here improved to: {0.1cm} {enu…
On the multilinear Bohnenblust--Hille constants: complex versus real case
J. R. Campos, D. Nunez-Alarcon, D. Pellegrino +2
The results of this note arise a rupture between the behavior of the real and complex best known constants for the multilinear Bohnenblust--Hille inequality; in one side, for real…