Generalizations of Sobolev Spaces and Embedding Theorems

Generalizations of Sobolev Spaces and Embedding Theorems Full article

Journal

Moscow University Mathematics Bulletin
ISSN: 0027-1322

Output data

Year: 2025, Volume: 80, Number: 6, Pages: 354-363 Pages count : 10 DOI: 10.3103/s0027132225700652

Tags

Sobolev spaces, embedding theorems, topological spaces, differential relations

Authors

Romanovskii N.N. ¹

Affiliations

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

A scale of Sobolev-type spaces is constructed including classical Sobolev and Sobolev–Slobodetskii spaces, spaces consisting of Sobolev functions satisfying certain differential relations. This approach allows defining Sobolev spaces for functions defined on a topological space and to prove embedding theorems.

Romanovskii N.N.
Generalizations of Sobolev Spaces and Embedding Theorems
Moscow University Mathematics Bulletin. 2025. V.80. N6. P.354-363. DOI: 10.3103/s0027132225700652 OpenAlex

Романовский Н.Н.
Обобщения пространств Соболева и теоремы вложения
Вестник Московского университета. Серия 1: Математика. Механика. 2025. №6. С.23-32. DOI: 10.55959/MSU0579-9368-1-66-6-5 РИНЦ OpenAlex

Submitted:	Oct 11, 2024
Accepted:	Dec 15, 2025
Published print:	Apr 1, 2026
Published online:	Apr 1, 2026

≡ OpenAlex:

W7147740398