On limiting embeddings of Besov spaces
Studia Mathematica, Tome 171 (2005) no. 1, pp. 1-13
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We investigate the classical embedding $B_{p,\theta }^s\subset B_{q,\theta }^{s-n(1/p-1/q)}$. The sharp asymptotic behaviour as $s\to 1$ of the operator norm of this embedding is found. In particular, our result yields a refinement of the Bourgain, Brezis and Mironescu theorem concerning an analogous problem for the Sobolev-type embedding. We also give a different, elementary proof of the latter theorem.
Keywords:
investigate classical embedding theta subset theta s n p sharp asymptotic behaviour operator norm embedding found particular result yields refinement bourgain brezis mironescu theorem concerning analogous problem sobolev type embedding different elementary proof latter theorem
Affiliations des auteurs :
V. I. Kolyada 1 ; A. K. Lerner 2
@article{10_4064_sm171_1_1,
author = {V. I. Kolyada and A. K. Lerner},
title = {On limiting embeddings of {Besov} spaces},
journal = {Studia Mathematica},
pages = {1--13},
publisher = {mathdoc},
volume = {171},
number = {1},
year = {2005},
doi = {10.4064/sm171-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm171-1-1/}
}
V. I. Kolyada; A. K. Lerner. On limiting embeddings of Besov spaces. Studia Mathematica, Tome 171 (2005) no. 1, pp. 1-13. doi: 10.4064/sm171-1-1
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