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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| Datum: | 2016 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2016
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| Schriftenreihe: | Труды Института прикладной математики и механики |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/124241 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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. |
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