The unconditional case of the complex S-inequality

Piotr Nayar; Tomasz Tkocz

doi:10.1007/s11856-012-0178-x

The unconditional case of the complex S-inequality

Piotr Nayar, Tomasz Tkocz

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Abstract

In this note we prove the complex counterpart of the S-inequality for complete Reinhardt sets. In particular, this result implies that the complex S-inequality holds for unconditional convex sets. As a by-product we also obtain the S-inequality for the exponential measure in the unconditional case.

Original language	English (US)
Pages (from-to)	99-106
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	197
Issue number	1
DOIs	https://doi.org/10.1007/s11856-012-0178-x
State	Published - Oct 2013
Externally published	Yes

Bibliographical note

Funding Information:
∗ Research partially supported by NCN Grant no. 2011/01/N/ST1/01839. ∗∗ Research partially supported by NCN Grant no. 2011/01/N/ST1/05960. Received November 9, 2011 and in revised form April 22, 2012

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AB - In this note we prove the complex counterpart of the S-inequality for complete Reinhardt sets. In particular, this result implies that the complex S-inequality holds for unconditional convex sets. As a by-product we also obtain the S-inequality for the exponential measure in the unconditional case.

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The unconditional case of the complex S-inequality

Abstract

Bibliographical note

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