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Application of a Khintchine Inequality to Holomorphic Mappings

✍ Scribed by Klaus Floret; Mário C. Matos

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
341 KB
Volume
176
Category
Article
ISSN
0025-584X

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✦ Synopsis

After proving the Khintchine inequality for the n-Rademacher functions of ARON and GLOBVENIK with constants independent from n E N, 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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