Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10231-023-01327-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7512 |
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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 |
8.893527 |