Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain in Lebesgue Spaces
Matematičeskie zametki, Tome 113 (2023) no. 1, pp. 21-31
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We establish theorems on embeddings and compact embeddings of spaces of functions of positive smoothness defined on a Hölder domain of the $n$-dimensional Euclidean space in Lebesgue spaces.
Keywords:
embedding, compactness, spaces of functions positive smoothness
Mots-clés : Hölder domain, Lebesgue space.
Mots-clés : Hölder domain, Lebesgue space.
@article{MZM_2023_113_1_a2,
author = {O. V. Besov},
title = {Embeddings of {Spaces} of {Functions} of {Positive} {Smoothness} on a {H\"older} {Domain} in {Lebesgue} {Spaces}},
journal = {Matemati\v{c}eskie zametki},
pages = {21--31},
publisher = {mathdoc},
volume = {113},
number = {1},
year = {2023},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a2/}
}
TY - JOUR AU - O. V. Besov TI - Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain in Lebesgue Spaces JO - Matematičeskie zametki PY - 2023 SP - 21 EP - 31 VL - 113 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a2/ LA - ru ID - MZM_2023_113_1_a2 ER -
O. V. Besov. Embeddings of Spaces of Functions of Positive Smoothness on a H\"older Domain in Lebesgue Spaces. Matematičeskie zametki, Tome 113 (2023) no. 1, pp. 21-31. http://geodesic.mathdoc.fr/item/MZM_2023_113_1_a2/