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Markov Uniqueness and Rademacher Theorem for Smooth Measures on an Infinite-Dimensional Space under Successful-Filtration Condition

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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Main Author: Kulik, A.M.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Series:Український математичний журнал
Subjects:
Статті
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165569
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spelling 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
first_indexed 2023-10-18T22:16:22Z
last_indexed 2023-10-18T22:16:22Z
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