Remarks on non linear type and Pisier's inequality

Assaf Naor; Gideon Schechtman

doi:10.1515/crll.2002.092

Remarks on non linear type and Pisier's inequality

Assaf Naor, Gideon Schechtman

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

We prove that for the class of UMD Banach spaces, the log n term in Pisier's inequality can be replaced by a constant independent of n. This is applied to show that for UMD Banach spaces, various non-linear notions of type p are implied by (Rademacher) type p.

Original language	English (US)
Pages (from-to)	213-236
Number of pages	24
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	552
DOIs	https://doi.org/10.1515/crll.2002.092
State	Published - 2002
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1515/crll.2002.092

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abstract = "We prove that for the class of UMD Banach spaces, the log n term in Pisier's inequality can be replaced by a constant independent of n. This is applied to show that for UMD Banach spaces, various non-linear notions of type p are implied by (Rademacher) type p.",

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Remarks on non linear type and Pisier's inequality

Abstract

All Science Journal Classification (ASJC) codes

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