Hypercontraction principle and random multilinear forms

DOI10.1007/BF00319292zbMath0621.60004MaRDI QIDQ1089980

Wiesław Krakowiak, Jerzy Szulga

Publication date: 1988

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

comparison theoremsMarcinkiewicz-Paley-Zygmund conditionrandom multilinear formshypercontractive maps

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) General harmonic expansions, frames (42C15) Probability theory on linear topological spaces (60B11)

Related Items

On a p-stable multiple integral. I, II ⋮ Gaussian noise sensitivity and Fourier tails ⋮ Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls ⋮ Sample path properties of stochastic processes represented as multiple stable integrals ⋮ Series expansions of multiple Lévy integrals ⋮ Some Geometric Properties of Spaces Associated with Multiple Stable Integrals ⋮ Noise stability of functions with low influences: invariance and optimality ⋮ Hypercontractive inequalities via SOS, and the Frankl--Rödl graph

Cites Work

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