On the convergence of random polynomials and multilinear forms

DOI10.1016/j.jfa.2011.06.004zbMath1230.46041OpenAlexW2150998333MaRDI QIDQ719487

Daniel Carando, Damián Pinasco, Verónica Dimant

Publication date: 10 October 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.06.004

zbMATH Keywords

convergence on full subspacesmultilinear forms in random variablespolynomial Khintchine inequalitiespolynomials in random variables

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Probabilistic methods in Banach space theory (46B09)

Cites Work

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• Integral representation of holomorphic functions on Banach spaces
• Representable functions on the unit ball of a Banach space
• Decoupling inequalities for multilinear forms in independent symmetric random variables
• Decoupling inequalities for polynomial chaos
• Gaussian measures in Banach spaces
• Dyadic approximation of double integrals with respect to symmetric stable processes
• Contraction and decoupling inequalities for multilinear forms and \(U\)-statistics
• \(L^{p}\)-representable functions on Banach spaces
• Extension of polynomials and John’s theorem for symmetric tensor products
• On the convergence of bilinear and quadratic forms in independent random variables
• Hilbert spaces of analytic functions of infinitely many variables
• A Divergence Theorem for Hilbert Space
• Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type

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