Pavlos Kalantzopoulos

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math.FA2025

Multiversion of the Hausdorff--Young inequality

Paata Ivanisvili, Pavlos Kalantzopoulos

We consider a family of jointly Gaussian random vectors $I^¾_{j} \in R^{k_{j}}$ , each standard normal but possibly correlated, and investigate when\[ \mathbb{E}\, F\!\Bigl(B\bi…

math.FA2024

$(P, Q)$ complex hypercontractivity

Paata Ivanisvili, Pavlos Kalantzopoulos

Let $I^¾$ be the standard normal random vector in $R^{k}$ . Under some mild growth and smoothness assumptions on any increasing $P, Q : [0, \infty) \mapsto [0, \infty)$ we s…

Multiversion of the Hausdorff--Young inequality

(P,Q) complex hypercontractivity

$(P, Q)$ complex hypercontractivity