A GENERALIZED KAHANE-KHINCHIN INEQUALITY

Authors
FAVOROV SY
Citation
Sy. Favorov, A GENERALIZED KAHANE-KHINCHIN INEQUALITY, Studia Mathematica, 130(2), 1998, pp. 101-107
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
130
Issue
2
Year of publication
1998
Pages
101 - 107
Database
ISI
SICI code
0039-3223(1998)130:2<101:AGKI>2.0.ZU;2-L
Abstract
The inequality integral log /Sigma a(n)e(2 pi i phi n)/ d phi(1)...d p hi(n) greater than or equal to C log (Sigma /a(n)/(2))(1/2) with an ab solute constant C, and similar ones, are extended to the case of a, be longing to an arbitrary normed space X and an arbitrary compact group of unitary operators on X instead of the operators of multiplication b y e(2 pi i phi).