Mixed norms and Sobolev type inequalities

V. I. Kolyada. "Mixed norms and Sobolev type inequalities." Banach Center Publications 72.1 (2006): 141-160. <http://eudml.org/doc/282433>.

@article{V2006,
abstract = {We study mixed norm spaces that arise in connection with embeddings of Sobolev and Besov spaces. We prove Sobolev type inequalities in terms of these mixed norms. Applying these results, we obtain optimal constants in embedding theorems for anisotropic Besov spaces. This gives an extension of the estimate proved by Bourgain, Brezis and Mironescu for isotropic Besov spaces.},
author = {V. I. Kolyada},
journal = {Banach Center Publications},
keywords = {mixed norm; rearrangement; embedding; Sobolev space; Besov space},
language = {eng},
number = {1},
pages = {141-160},
title = {Mixed norms and Sobolev type inequalities},
url = {http://eudml.org/doc/282433},
volume = {72},
year = {2006},
}

TY - JOUR
AU - V. I. Kolyada
TI - Mixed norms and Sobolev type inequalities
JO - Banach Center Publications
PY - 2006
VL - 72
IS - 1
SP - 141
EP - 160
AB - We study mixed norm spaces that arise in connection with embeddings of Sobolev and Besov spaces. We prove Sobolev type inequalities in terms of these mixed norms. Applying these results, we obtain optimal constants in embedding theorems for anisotropic Besov spaces. This gives an extension of the estimate proved by Bourgain, Brezis and Mironescu for isotropic Besov spaces.
LA - eng
KW - mixed norm; rearrangement; embedding; Sobolev space; Besov space
UR - http://eudml.org/doc/282433
ER -