Resumen de Gaussian averages of interpolated bodies and applications to approximate reconstruction

Y. Gordon, Alexander E. Litvak, S. Mendelson, Alain Pajor

• We prove sharp bounds for the expectation of the supremum of the Gaussian process indexed by the intersection of with for 1p,q8 and ?>0, and by the intersection of with for 00. We present an application of this result to a statistical problem known as the approximate reconstruction problem.