Embeddings of Besov-Morrey spaces on bounded domains

Dorothee D. Haroske, and Leszek Skrzypczak. "Embeddings of Besov-Morrey spaces on bounded domains." Studia Mathematica 218.2 (2013): 119-144. <http://eudml.org/doc/286184>.

@article{DorotheeD2013,
abstract = {We study embeddings of spaces of Besov-Morrey type, $id_\{Ω\}: ^\{s₁\}_\{p₁,u₁,q₁\}(Ω) ↪ ^\{s₂\}_\{p₂,u₂,q₂\}(Ω)$, where $Ω ⊂ ℝ^\{d\}$ is a bounded domain, and obtain necessary and sufficient conditions for the continuity and compactness of $id_\{Ω\}$. 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.},
author = {Dorothee D. Haroske, Leszek Skrzypczak},
journal = {Studia Mathematica},
keywords = {Besov-Morrey spaces; wavelet characterization; continuity of embeddings; compactness of embeddings},
language = {eng},
number = {2},
pages = {119-144},
title = {Embeddings of Besov-Morrey spaces on bounded domains},
url = {http://eudml.org/doc/286184},
volume = {218},
year = {2013},
}

TY - JOUR
AU - Dorothee D. Haroske
AU - Leszek Skrzypczak
TI - Embeddings of Besov-Morrey spaces on bounded domains
JO - Studia Mathematica
PY - 2013
VL - 218
IS - 2
SP - 119
EP - 144
AB - We study embeddings of spaces of Besov-Morrey type, $id_{Ω}: ^{s₁}_{p₁,u₁,q₁}(Ω) ↪ ^{s₂}_{p₂,u₂,q₂}(Ω)$, where $Ω ⊂ ℝ^{d}$ is a bounded domain, and obtain necessary and sufficient conditions for the continuity and compactness of $id_{Ω}$. 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.
LA - eng
KW - Besov-Morrey spaces; wavelet characterization; continuity of embeddings; compactness of embeddings
UR - http://eudml.org/doc/286184
ER -