MAXIMUM MODULUS OF RANDOM POLYNOMIALS

We give an upper bound of the expectation of the supremum norm of a homogeneous Bernoulli polynomial on the unit ball of a Banach space. This upper bound depends on the geometry of the underlying Banach space and it has several applications in complex analysis and in functional analysis.

We give an upper bound of the expectation of the supremum norm of a homogeneous Bernoulli polynomial on the unit ball of a Banach space. This upper bound depends on the geometry of the underlying Banach space and it has several applications in complex analysis and in functional analysis.