Optimal Sobolev imbedding spaces

Ron Kerman, and Luboš Pick. "Optimal Sobolev imbedding spaces." Studia Mathematica 192.3 (2009): 195-217. <http://eudml.org/doc/285292>.

@article{RonKerman2009,
abstract = {This paper continues our study of Sobolev-type imbedding inequalities involving rearrangement-invariant Banach function norms. In it we characterize when the norms considered are optimal. Explicit expressions are given for the optimal partners corresponding to a given domain or range norm.},
author = {Ron Kerman, Luboš Pick},
journal = {Studia Mathematica},
keywords = {Sobolev embeddings; rearrangement-invariant norms; optimality; Hardy operators; supremum operators},
language = {eng},
number = {3},
pages = {195-217},
title = {Optimal Sobolev imbedding spaces},
url = {http://eudml.org/doc/285292},
volume = {192},
year = {2009},
}

TY - JOUR
AU - Ron Kerman
AU - Luboš Pick
TI - Optimal Sobolev imbedding spaces
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 3
SP - 195
EP - 217
AB - This paper continues our study of Sobolev-type imbedding inequalities involving rearrangement-invariant Banach function norms. In it we characterize when the norms considered are optimal. Explicit expressions are given for the optimal partners corresponding to a given domain or range norm.
LA - eng
KW - Sobolev embeddings; rearrangement-invariant norms; optimality; Hardy operators; supremum operators
UR - http://eudml.org/doc/285292
ER -