Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure
Репозиторій DSpace/Manakin
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On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure
УДК:
519.21
Посилання:
On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure / V. Berezhnoy // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 7–10. — Бібліогр.: 6 назв.— англ.
Підтримка:
This article was partially supported by the RFBR project 07-01-00536.
Дата:
2008
Переглядів:
1011
Завантажень:
521
Анотація:
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.
