Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition
For a smooth measure on an infinite-dimensional space, a “successful-filtration” condition is introduced and the Markov uniqueness and Rademacher theorem for measures satisfying this condition are proved. Some sufficient conditions, such as the well-known Hoegh-Krohn condition, are also considered....
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| Дата: | 2005 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2005
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| Назва видання: | Український математичний журнал |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/165569 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition / A.M. Kulik // Український математичний журнал. — 2005. — Т. 57, № 2. — С. 170–186. — Бібліогр.: 19 назв. — англ. |
Репозитарії
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irk-123456789-1655692020-02-15T01:26:20Z Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition Kulik, A.M. Статті For a smooth measure on an infinite-dimensional space, a “successful-filtration” condition is introduced and the Markov uniqueness and Rademacher theorem for measures satisfying this condition are proved. Some sufficient conditions, such as the well-known Hoegh-Krohn condition, are also considered. Examples demonstrating connections between these conditions and applications to convex measures are given. Для гладкої міри на нескінченновимірному просторі введено умову "успішної фільтрації" та доведено марковську єдиність і теорему Радемахера для мір, що задовольняють цю умову. Розглянуто деякі достатні умови, такі як відома умова Хєег-Крона, наведено приклади, що демонструють зв'язок між цими умовами, та застосування до опуклих мір. 2005 Article Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition / A.M. Kulik // Український математичний журнал. — 2005. — Т. 57, № 2. — С. 170–186. — Бібліогр.: 19 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/165569 519.21 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Kulik, A.M. Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition Український математичний журнал |
| description |
For a smooth measure on an infinite-dimensional space, a “successful-filtration” condition is introduced and the Markov uniqueness and Rademacher theorem for measures satisfying this condition are proved. Some sufficient conditions, such as the well-known Hoegh-Krohn condition, are also considered. Examples demonstrating connections between these conditions and applications to convex measures are given. |
| format |
Article |
| author |
Kulik, A.M. |
| author_facet |
Kulik, A.M. |
| author_sort |
Kulik, A.M. |
| title |
Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition |
| title_short |
Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition |
| title_full |
Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition |
| title_fullStr |
Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition |
| title_full_unstemmed |
Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition |
| title_sort |
markov uniqueness and rademacher theorem for smooth measures on an infinite-dimensional space under successful-filtration condition |
| publisher |
Інститут математики НАН України |
| publishDate |
2005 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/165569 |
| citation_txt |
Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition / A.M. Kulik // Український математичний журнал. — 2005. — Т. 57, № 2. — С. 170–186. — Бібліогр.: 19 назв. — англ. |
| series |
Український математичний журнал |
| work_keys_str_mv |
AT kulikam markovuniquenessandrademachertheoremforsmoothmeasuresonaninfinitedimensionalspaceundersuccessfulfiltrationcondition |
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2023-10-18T22:16:22Z |
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2023-10-18T22:16:22Z |
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1796155083597021184 |