Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain
Informatics and Automation, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 53-64
Voir la notice de l'article provenant de la source Math-Net.Ru
We prove embedding theorems for spaces of functions of positive smoothness defined on a Hölder domain of $n$-dimensional Euclidean space.
Keywords:
embedding, spaces of functions of positive smoothness, Sobolev space.
Mots-clés : Hölder domain
Mots-clés : Hölder domain
@article{TRSPY_2023_323_a2,
author = {O. V. Besov},
title = {Integral {Representations} and {Embeddings} of {Spaces} of {Functions} of {Positive} {Smoothness} on a {H\"older} {Domain}},
journal = {Informatics and Automation},
pages = {53--64},
publisher = {mathdoc},
volume = {323},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TRSPY_2023_323_a2/}
}
TY - JOUR AU - O. V. Besov TI - Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain JO - Informatics and Automation PY - 2023 SP - 53 EP - 64 VL - 323 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TRSPY_2023_323_a2/ LA - ru ID - TRSPY_2023_323_a2 ER -
O. V. Besov. Integral Representations and Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain. Informatics and Automation, Theory of Functions of Several Real Variables and Its Applications, Tome 323 (2023), pp. 53-64. http://geodesic.mathdoc.fr/item/TRSPY_2023_323_a2/