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Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator

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Main Authors: Helena F., Gonçalves, Dorothee D., Haroske, Leszek, Skrzypczak
Format: Book
Language:English
Published: Springer 2023
Subjects:
Triebel-Lizorkin-type spaces
Rychkov’s linear
Online Access:https://link.springer.com/article/10.1007/s10231-023-01327-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7512
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spelling oai:localhost:PNK-75122023-04-04T09:42:57Z Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator Helena F., Gonçalves Dorothee D., Haroske Leszek, Skrzypczak Triebel-Lizorkin-type spaces Rychkov’s linear CC BY In this paper, we study limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces, idτ:Bs1,τ1p1,q1(Ω)↪Bs2,τ2p2,q2(Ω) and idτ:Fs1,τ1p1,q1(Ω)↪Fs2,τ2p2,q2(Ω), where Ω⊂Rd is a bounded domain, obtaining necessary and sufficient conditions for the continuity of idτ . This can also be seen as the continuation of our previous studies of compactness of the embeddings in the non-limiting case. Moreover, we also construct Rychkov’s linear, bounded universal extension operator for these spaces. 2023-04-04T09:42:57Z 2023-04-04T09:42:57Z 2023 Book https://link.springer.com/article/10.1007/s10231-023-01327-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7512 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Triebel-Lizorkin-type spaces
Rychkov’s linear
spellingShingle Triebel-Lizorkin-type spaces
Rychkov’s linear
Helena F., Gonçalves
Dorothee D., Haroske
Leszek, Skrzypczak
Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
description CC BY
format Book
author Helena F., Gonçalves
Dorothee D., Haroske
Leszek, Skrzypczak
author_facet Helena F., Gonçalves
Dorothee D., Haroske
Leszek, Skrzypczak
author_sort Helena F., Gonçalves
title Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
title_short Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
title_full Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
title_fullStr Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
title_full_unstemmed Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
title_sort limiting embeddings of besov-type and triebel-lizorkin-type spaces on domains and an extension operator
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10231-023-01327-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7512
_version_ 1762365497641271296
score 8.887836

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