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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 3, Fasc. 2,
pages 191 - 203
 

ON POLYNOMIAL CHAOS AND INTEGRABILITY

Christer Borell

Abstract: Given a polynomial chaos P, the main purpose of the present paper is to estimate the quantity sup(||X ||;||X || < 1,X (- P) p 2 as a function of p (- ]2, oo [. The results obtained will then be used to decide L p -convergence of certain random series with partial sums belonging to P.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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