Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

Vladimir Gol'dshtein; Yaroslav Anatol evich Kopylov

doi:10.33048/semi.2019.16.075

Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

Vladimir Gol'dshtein, Yaroslav Anatol evich Kopylov

Кафедра математического анализа ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincaré-Sobolev-Orlicztype inequalities is discussed.

Язык оригинала	английский
Страницы (с-по)	1079-1090
Число страниц	12
Журнал	Сибирские электронные математические известия
Том	16
DOI	https://doi.org/10.33048/semi.2019.16.075
Состояние	Опубликовано - 1 янв 2019

Предметные области OECD FOS+WOS

1.01 МАТЕМАТИКА

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10.33048/semi.2019.16.075

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title = "Some calculations of Orlicz cohomology and Poincar{\'e}-Sobolev-Orlicz inequalities",

abstract = "We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincar{\'e}-Sobolev-Orlicztype inequalities is discussed.",

keywords = "Differential form, Orlicz cohomology, Poincar{\'e}-Sobolev- Orlicz inequality, Torsion, differential form, DIFFERENTIAL FORMS, torsion, SPACES, Poincare-Sobolev-Orlicz inequality",

author = "Vladimir Gol'dshtein and Kopylov, {Yaroslav Anatol evich}",

year = "2019",

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doi = "10.33048/semi.2019.16.075",

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Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities. / Gol'dshtein, Vladimir; Kopylov, Yaroslav Anatol evich.

В: Сибирские электронные математические известия, Том 16, 01.01.2019, стр. 1079-1090.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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