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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| Дата: | 2008 |
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| ISSN: | 0321-3900 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/4531 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862540971412029440 |
|---|---|
| author | Berezhnoy, V. |
| author_facet | Berezhnoy, V. |
| citation_txt | 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. |
| collection | DSpace DC |
| description | 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.
|
| first_indexed | 2025-11-24T16:13:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4531 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-11-24T16:13:04Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Berezhnoy, V. 2009-11-25T11:00:04Z 2009-11-25T11:00:04Z 2008 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. 0321-3900 https://nasplib.isofts.kiev.ua/handle/123456789/4531 519.21 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. This article was partially supported by the RFBR project 07-01-00536. en Інститут математики НАН України On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure Article published earlier |
| spellingShingle | On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure Berezhnoy, V. |
| title | On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure |
| title_full | On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure |
| title_fullStr | On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure |
| title_full_unstemmed | On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure |
| title_short | On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure |
| title_sort | on the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4531 |
| work_keys_str_mv | AT berezhnoyv ontheequivalenceofintegralnormsonthespaceofmeasurablepolynomialswithrespecttoaconvexmeasure |