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Mat. Zametki, 2019 Volume 106, Issue 4, Pages 491–505 (Mi mzm12198)

Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: We establish an embedding theorem for spaces of functions of positive smoothness defined on irregular domains of $n$-dimensional Euclidean space in spaces of the same type and obtain some closely related results.

Keywords: embedding theorems, spaces of functions of positive smoothness, irregular domain, Sobolev spaces, Lebesgue spaces.

UDC: 517.518.23

Received: 24.09.2018
Revised: 07.12.2018

DOI: 10.4213/mzm12198


 English version:
Mathematical Notes, 2019, 106:4, 501–513

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© Steklov Math. Inst. of RAS, 2026