Geodesic
A generalized Kahane-Khinchin inequality
Studia Mathematica, Tome 130 (1998) no. 2, pp. 101-107

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The inequality $ʃ log |∑ a_n e^{2πiφ_n}|dφ_1…dφ_n ≥ C log(∑|a_n|^2)^{1/2}$ with an absolute constant C, and similar ones, are extended to the case of $a_n$ belonging to an arbitrary normed space X and an arbitrary compact group of unitary operators on X instead of the operators of multiplication by $e^{2πiφ}$.
DOI : 10.4064/sm-130-2-101-107

S. Yu. Favorov 1

1 
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S. Yu. Favorov. A generalized Kahane-Khinchin inequality. Studia Mathematica, Tome 130 (1998) no. 2, pp. 101-107. doi: 10.4064/sm-130-2-101-107

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