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On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure

We prove that, for a convex product-measure μ on a locally convex space, for any set A of positive measure, on the space of measurable polynomials of degree d, all Lp(μ)-norms coincide with the norms obtained by restricting μ to A.

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Bibliographic Details
Main Author: Berezhnoy, V.
Format: Article
Language:English
Published: Інститут математики НАН України 2008
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/4531
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