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

Доступ к документу

10.33048/semi.2019.16.075

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@article{91ce7c3fa44747ae984d66679e581ded,

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",

month = jan,

day = "1",

doi = "10.33048/semi.2019.16.075",

language = "English",

volume = "16",

pages = "1079--1090",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

}

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

TY - JOUR

T1 - Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

AU - Gol'dshtein, Vladimir

AU - Kopylov, Yaroslav Anatol evich

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - Differential form

KW - Orlicz cohomology

KW - Poincaré-Sobolev- Orlicz inequality

KW - Torsion

KW - differential form

KW - DIFFERENTIAL FORMS

KW - torsion

KW - SPACES

KW - Poincare-Sobolev-Orlicz inequality

UR - http://www.scopus.com/inward/record.url?scp=85071150293&partnerID=8YFLogxK

U2 - 10.33048/semi.2019.16.075

DO - 10.33048/semi.2019.16.075

M3 - Article

AN - SCOPUS:85071150293

VL - 16

SP - 1079

EP - 1090

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -