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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 1993 Volume 34, Number 1, Pages 32–37 (Mi smj1692)

On Rosenthal's inequality and rearrangement invariant spaces

M. Sh. Braverman


Abstract: Sufficient conditions are found for an analog to the Rosenthal's upper estimate for the absolute moment of the sum of independent random variables to be valid in a rearrangement invariant space.

UDC: 513.88+519.21

Received: 25.10.1991


 English version:
Siberian Mathematical Journal, 1993, 34:1, 25–29

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© Steklov Math. Inst. of RAS, 2024