Normal and Compact Solvability of the Exterior Derivation Operator in Orlicz Spaces | Sciact - Система учета научной деятельности ИМ СО РАН

Normal and Compact Solvability of the Exterior Derivation Operator in Orlicz Spaces Научная публикация

Журнал

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Вых. Данные

Год: 2023, Том: 276, Номер: 1, Страницы: 98-110 Страниц : 13 DOI: 10.1007/s10958-023-06727-0

Авторы

Kopylov Ya.A. ¹

Организации

1	Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0006

We study the normal and compact solvability of the operator of exterior derivation in Orlicz spaces of differential forms on compact Riemannian manifolds. We prove the compact solvability of the exterior derivation operator defined on an Orlicz space of differential forms corresponding to a Δ2 ∩∇2-regular N-function on a compact oriented smooth Riemannian manifold considered on its maximal and minimal domains containing all smooth forms with compact support.

Kopylov Y.A.
Normal and Compact Solvability of the Exterior Derivation Operator in Orlicz Spaces
Journal of Mathematical Sciences (United States). 2023. V.276. N1. P.98-110. DOI: 10.1007/s10958-023-06727-0 Scopus РИНЦ OpenAlex

Поступила в редакцию:	4 июн. 2023 г.
Опубликована в печати:	23 окт. 2023 г.
Опубликована online:	23 окт. 2023 г.

Scopus:	2-s2.0-85174587248
РИНЦ:	63797212
OpenAlex:	W4387877543

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