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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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2008
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-4531 |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure |
| spellingShingle |
On the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure Berezhnoy, V. |
| title_short |
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_sort |
on the equivalence of integral norms on the space of measurable polynomials with respect to a convex measure |
| author |
Berezhnoy, V. |
| author_facet |
Berezhnoy, V. |
| publishDate |
2008 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
0321-3900 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/4531 |
| 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. |
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AT berezhnoyv ontheequivalenceofintegralnormsonthespaceofmeasurablepolynomialswithrespecttoaconvexmeasure |
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2025-11-24T16:13:04Z |
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2025-11-24T16:13:04Z |
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