A generalized Kahane-Khinchin inequality

Favorov, S.

Favorov, S.

Studia Mathematica, Tome 129 (1998), p. 101-107 / Harvested from The Polish Digital Mathematics Library

Résumé

The inequality $ʃ l o g | \sum a_{n} e^{2 π i φ_{n}} | d φ_{1} \dots d φ_{n} \geq C l o g (\sum | a_{n} {|^{2})}^{1 / 2}$ 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 $e^{2 π i φ}$ .

Publié le : 1998-01-01

Zbl 0906.60018

EUDML-ID : urn:eudml:doc:216545

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     title = {A generalized Kahane-Khinchin inequality},
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     volume = {129},
     year = {1998},
     pages = {101-107},
     zbl = {0906.60018},
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Favorov, S. A generalized Kahane-Khinchin inequality. Studia Mathematica, Tome 129 (1998) pp. 101-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv130i2p101bwm/

Bibliographie

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