Embeddings of Besov-Morrey spaces on bounded domains

Dorothee D. Haroske; Leszek Skrzypczak

Studia Mathematica, Tome 215 (2013), p. 119-144 / Harvested from The Polish Digital Mathematics Library

Résumé

We study embeddings of spaces of Besov-Morrey type, $i d_{Ω} :_{p ₁, u ₁, q ₁}^{s ₁} (Ω) ↪_{p ₂, u ₂, q ₂}^{s ₂} (Ω)$ , where $Ω \subset ℝ^{d}$ is a bounded domain, and obtain necessary and sufficient conditions for the continuity and compactness of $i d_{Ω}$ . This continues our earlier studies relating to the case of $ℝ^{d}$ . Moreover, we also characterise embeddings into the scale of $L_{p}$ spaces or into the space of bounded continuous functions.

Publié le : 2013-01-01

Zbl 1293.46021

EUDML-ID : urn:eudml:doc:286184

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     author = {Dorothee D. Haroske and Leszek Skrzypczak},
     title = {Embeddings of Besov-Morrey spaces on bounded domains},
     journal = {Studia Mathematica},
     volume = {215},
     year = {2013},
     pages = {119-144},
     zbl = {1293.46021},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm218-2-2}
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Dorothee D. Haroske; Leszek Skrzypczak. Embeddings of Besov-Morrey spaces on bounded domains. Studia Mathematica, Tome 215 (2013) pp. 119-144. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm218-2-2/