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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2018 Volume 104, Issue 6, Pages 823–834 (Mi mzm12050)

This article is cited in 3 papers

Embeddings of Weighted Spaces of Functions of Positive Smoothness on Irregular Domains in Lebesgue Space

O. V. Besov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: An embedding theorem of weighted spaces of functions of positive smoothness defined on irregular domains of $n$-dimensional Euclidean space in weighted Lebesgue spaces is established. The theorem is formulated depending on geometric parameters of the domain of functions.

Keywords: embedding theorem, weighted spaces of functions of positive smoothness, irregular domain, Lebesgue spaces.

UDC: 517.518.23

Received: 10.04.2018
Revised: 29.05.2018

DOI: 10.4213/mzm12050


 English version:
Mathematical Notes, 2018, 104:6, 799–809

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© Steklov Math. Inst. of RAS, 2026