Geodesic
On the equivalence of integral norms on the
Teoriâ slučajnyh processov, Tome 14 (2008) no. 1, pp. 7-10

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We prove that, for a convex product-measure $\mu$ on a locally convex space, for any set $A$ of positive measure, on the space of measurable polynomials of degree $d,$ all $L_p(\mu)$-norms coincide with the norms obtained by restricting $\mu$ to $A.$
Keywords: Convex measure, measurable polynomial, equivalent norms. 
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     author = {Vasiliy Berezhnoy},
     title = {On the equivalence of integral norms on the},
     journal = {Teori\^a slu\v{c}ajnyh processov},
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     publisher = {mathdoc},
     volume = {14},
     number = {1},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/THSP_2008_14_1_a1/}
}
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Vasiliy Berezhnoy. On the equivalence of integral norms on the. Teoriâ slučajnyh processov, Tome 14 (2008) no. 1, pp. 7-10. http://geodesic.mathdoc.fr/item/THSP_2008_14_1_a1/