Abstract

AbstractAfter proving the Khintchine inequality for the n‐Rademacher functions of ARON and GLOBVENIK with constants independent from n ε IN, applications are given to the theory of polynomials and holomorphic functions between Banach spaces. In particular, the following result is proved: Every entire mapping from a Banach space into another one of cotype q, vanishing at the origin and of r‐dominated type at zero for some r > 0 maps unconditionally 2‐summable sequences into absolutely q‐summable sequences.

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