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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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Format: | Article |
Language: | English |
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Інститут математики НАН України
2008
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Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/4531 |
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