### Contraction and Decoupling Inequalities for Multilinear Forms and $U$-StatisticsContraction and Decoupling Inequalities for Multilinear Forms and $U$-Statistics

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 Author Szulga, Jerzy ♦ Pena, V. H. De La ♦ Montgomery-Smith, S. J. Source Project Euclid Content type Text File Format PDF
 Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics Subject Keyword Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) ♦ Order statistics; empirical distribution functions (62G30) ♦ Characterization and structure theory (62H05) ♦ Tensor products (46M05) ♦ Inequalities; stochastic orderings (60E15) ♦ Stochastic calculus of variations and the Malliavin calculus (60H07) ♦ Probability theory on linear topological spaces (60B11) Description Decoupling principle symmetric tensor products random polynomials multiple random series multiple stochastic integrals random multilinear forms random chaos tail inequalities polarization symmetrization Banach space rearrangement invariant Orlicz space Loretz space Rademacher sequence $U$-statistcs Learning Resource Type Article Publisher Date 1994-01-01 Journal Ann. Probab. Volume Number 22 Issue Number 4 Page Count 21 Starting Page 1745 Ending Page 1765