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math.PR2020
1--Meixner random vectors
Aurel I. Stan, Florin Catrina
A definition of --dimensional --Meixner random vectors is given first. This definition involves the commutators of their semi--quantum operators. After that we will focus on…
math.PR2015
A sharp interpolation between the Hölder and Gaussian Young inequalities
Paolo Da Pelo, Alberto Lanconelli, Aurel I. Stan
We prove a very general sharp inequality of the Hölder--Young--type for functions defined on infinite dimensional Gaussian spaces. We begin by considering a family of commutative p…
math.PR2011★ 2 cited
A Hölder--Young--Lieb inequality for norms of Gaussian Wick products
Paolo Da Pelo, Alberto Lanconelli, Aurel I. Stan
An important connection between the finite dimensional Gaussian Wick product and Lebesgue convolution product will be proven first. Then this connection will be used to prove an im…