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- W3048579239 abstract "The main aim of this work is to give a general approach to the celebrated Kahane-Salem-Zygmund inequalities. We prove estimates for exponential Orlicz norms of averages $sup_{1le j leq N} big |sum_{1 leq i leq K}gamma_i(cdot) a_{i,j}big|$ where $(a_{i,j})$ denotes a matrix of scalars and the $(gamma_i)$ a sequence of real or complex subgaussian random variables. Lifting these inequalities to finite dimensional Banach spaces, we get novel Kahane-Salem-Zygmund type inequalities -- in particular, for spaces of subgaussian random polynomials and multilinear forms on finite dimensional Banach spaces as well as subgaussian random Dirichlet polynomials. Finally, we use abstract interpolation theory to widen our approach considerably." @default.
- W3048579239 created "2020-08-18" @default.
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- W3048579239 date "2020-08-10" @default.
- W3048579239 modified "2023-10-13" @default.
- W3048579239 title "Subgaussian Kahane-Salem-Zygmund inequalities in Banach spaces" @default.
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