Embeddings of Besov–Morrey spaces on bounded domains
Studia Mathematica, Tome 218 (2013) no. 2, pp. 119-144
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We study embeddings of spaces of Besov–Morrey type, $\mathop {\rm id}\nolimits _\varOmega : {{\cal N}^{s_1}_{p_1,u_1,q_1}}(\varOmega )
\hookrightarrow {{\cal N}^{s_2}_{p_2,u_2,q_2}}(\varOmega )$, where $\varOmega \subset {\mathbb R}^{d}$ is a bounded domain, and obtain necessary and sufficient conditions for the continuity and compactness of $\mathop {\rm id}\nolimits _\varOmega $. This continues our earlier studies relating to the case of ${\mathbb R}^{d}$. Moreover, we also characterise embeddings into the scale of $L_p$ spaces or into the space of bounded continuous functions.
Keywords:
study embeddings spaces besov morrey type mathop nolimits varomega cal varomega hookrightarrow cal varomega where varomega subset mathbb bounded domain obtain necessary sufficient conditions continuity compactness mathop nolimits varomega continues earlier studies relating nbsp mathbb moreover characterise embeddings scale spaces space bounded continuous functions
Affiliations des auteurs :
Dorothee D. Haroske 1 ; Leszek Skrzypczak 2
@article{10_4064_sm218_2_2,
author = {Dorothee D. Haroske and Leszek Skrzypczak},
title = {Embeddings of {Besov{\textendash}Morrey} spaces on bounded domains},
journal = {Studia Mathematica},
pages = {119--144},
publisher = {mathdoc},
volume = {218},
number = {2},
year = {2013},
doi = {10.4064/sm218-2-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm218-2-2/}
}
TY - JOUR AU - Dorothee D. Haroske AU - Leszek Skrzypczak TI - Embeddings of Besov–Morrey spaces on bounded domains JO - Studia Mathematica PY - 2013 SP - 119 EP - 144 VL - 218 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm218-2-2/ DO - 10.4064/sm218-2-2 LA - en ID - 10_4064_sm218_2_2 ER -
Dorothee D. Haroske; Leszek Skrzypczak. Embeddings of Besov–Morrey spaces on bounded domains. Studia Mathematica, Tome 218 (2013) no. 2, pp. 119-144. doi: 10.4064/sm218-2-2
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