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On the equivalence of certain seminorms on some weighted Hölder spaces

On the equivalence of certain seminorms on some weighted Hölder spaces

The present paper is devoted to studying of some weighted H¨older spaces. These spaces are designed in the way to serve as a framework for studying different statements for the thin film equations in weighted classes of smooth functions in the multidimensional setting. These spaces can serve also fo...

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Main Author: Degtyarev, S.P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2016
Series:Труды Института прикладной математики и механики
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124241
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spelling irk-123456789-1242412017-09-23T03:03:16Z On the equivalence of certain seminorms on some weighted Hölder spaces Degtyarev, S.P. The present paper is devoted to studying of some weighted H¨older spaces. These spaces are designed in the way to serve as a framework for studying different statements for the thin film equations in weighted classes of smooth functions in the multidimensional setting. These spaces can serve also for considering of other equations with the degeneration on the boundary of the domain of definition. We prove the equivalence of certain metrics on these spaces. Данная статья посвящена изучению некоторых весовых пространств Гельдера. Эти пространства являются естественными классами гладких функций для изучения уравнений типа уравнений тонких пленок в многомерном случае. Эти классы могут быть применены также для изучения других уравнений с вырождением на границе области определения. Мы доказываем эквивалентность некоторых различных метрик в этих пространствах. 2016 Article On the equivalence of certain seminorms on some weighted Hölder spaces / S.P. Degtyarev // Труды Института прикладной математики и механики. — Донецьк: ІПММ, 2016. — Т. 30. — С. 39-45. — Бібліогр.: 25 назв. — англ. 1683-4720 http://dspace.nbuv.gov.ua/handle/123456789/124241 517.9 en Труды Института прикладной математики и механики Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The present paper is devoted to studying of some weighted H¨older spaces. These spaces are designed in the way to serve as a framework for studying different statements for the thin film equations in weighted classes of smooth functions in the multidimensional setting. These spaces can serve also for considering of other equations with the degeneration on the boundary of the domain of definition. We prove the equivalence of certain metrics on these spaces.
format Article
author Degtyarev, S.P.
spellingShingle Degtyarev, S.P.
On the equivalence of certain seminorms on some weighted Hölder spaces
Труды Института прикладной математики и механики
author_facet Degtyarev, S.P.
author_sort Degtyarev, S.P.
title On the equivalence of certain seminorms on some weighted Hölder spaces
title_short On the equivalence of certain seminorms on some weighted Hölder spaces
title_full On the equivalence of certain seminorms on some weighted Hölder spaces
title_fullStr On the equivalence of certain seminorms on some weighted Hölder spaces
title_full_unstemmed On the equivalence of certain seminorms on some weighted Hölder spaces
title_sort on the equivalence of certain seminorms on some weighted hölder spaces
publisher Інститут прикладної математики і механіки НАН України
publishDate 2016
url http://dspace.nbuv.gov.ua/handle/123456789/124241
citation_txt On the equivalence of certain seminorms on some weighted Hölder spaces / S.P. Degtyarev // Труды Института прикладной математики и механики. — Донецьк: ІПММ, 2016. — Т. 30. — С. 39-45. — Бібліогр.: 25 назв. — англ.
series Труды Института прикладной математики и механики
work_keys_str_mv AT degtyarevsp ontheequivalenceofcertainseminormsonsomeweightedholderspaces
first_indexed 2023-10-18T20:45:59Z
last_indexed 2023-10-18T20:45:59Z
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