Embeddings of Besov-Morrey spaces on bounded domains (Q2856674)
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scientific article; zbMATH DE number 6221022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embeddings of Besov-Morrey spaces on bounded domains |
scientific article; zbMATH DE number 6221022 |
Statements
30 October 2013
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Besov-Morrey spaces
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wavelet characterization
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continuity of embeddings
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compactness of embeddings
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0.9518701
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0.93655163
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0.9328252
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0.9291858
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0.92794913
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0.92295384
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Embeddings of Besov-Morrey spaces on bounded domains (English)
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The paper deals with necessary and sufficient conditions for embeddings of Besov-Morrey spaces \(\mathcal{N}^s_{p,u,q} (\Omega)\) defined on bounded smooth domains. The authors are interested in three types of continuous embeddings:NEWLINENEWLINE\(\mathcal{N}^{s_1}_{p_1,u_1,q_1} (\Omega) \hookrightarrow \mathcal{N}^{s_2}_{p_2,u_2,q_2} (\Omega)\);NEWLINENEWLINE\(\mathcal{N}^{s_1}_{p_1,u_1,q_1} (\Omega) \hookrightarrow L_{p_2} (\Omega)\);NEWLINENEWLINE\(\mathcal{N}^{s_1}_{p_1,u_1,q_1} (\Omega) \hookrightarrow C(\Omega)\).NEWLINENEWLINEPartially, they have found necessary and sufficient conditions. In any case, the authors have found necessary and sufficient conditions for the compactness of those embeddings.
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