Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains
Matematičeskie zametki, Tome 106 (2019) no. 4, pp. 491-505
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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
Mots-clés : Sobolev spaces, Lebesgue spaces.
Mots-clés : Sobolev spaces, Lebesgue spaces.
@article{MZM_2019_106_4_a1,
author = {O. V. Besov},
title = {Embeddings of {Spaces} of {Functions} of {Positive} {Smoothness} on {Irregular} {Domains}},
journal = {Matemati\v{c}eskie zametki},
pages = {491--505},
publisher = {mathdoc},
volume = {106},
number = {4},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_4_a1/}
}
O. V. Besov. Embeddings of Spaces of Functions of Positive Smoothness on Irregular Domains. Matematičeskie zametki, Tome 106 (2019) no. 4, pp. 491-505. http://geodesic.mathdoc.fr/item/MZM_2019_106_4_a1/