TY - JOUR
T1 - Sharp Sobolev inequalities in Lorentz spaces for a mean oscillation
AU - Ioku, Norisuke
PY - 2014/3/1
Y1 - 2014/3/1
N2 - We exhibit the optimal constant for Sobolev inequalities in Lorentz spaces for a mean oscillation, and its relation with a boundedness of the Hardy-Littlewood maximal operator in Sobolev spaces. Some applications to a scale invariant form of Hardy's inequality in a limiting case are also considered.
AB - We exhibit the optimal constant for Sobolev inequalities in Lorentz spaces for a mean oscillation, and its relation with a boundedness of the Hardy-Littlewood maximal operator in Sobolev spaces. Some applications to a scale invariant form of Hardy's inequality in a limiting case are also considered.
KW - Critical Hardy inequalities
KW - Optimal constant
KW - Scale invariance property
KW - Sobolev inequalities in Lorentz spaces
UR - http://www.scopus.com/inward/record.url?scp=84893655497&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84893655497&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2013.12.023
DO - 10.1016/j.jfa.2013.12.023
M3 - Article
AN - SCOPUS:84893655497
SN - 0022-1236
VL - 266
SP - 2944
EP - 2958
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 5
ER -