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Title: | Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator |
Authors: | Helena F., Gonçalves Dorothee D., Haroske Leszek, Skrzypczak |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | 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. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s10231-023-01327-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7512 |
Appears in Collections | OER - Khoa học Tự nhiên |
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