Fractional Hardy inequality with a remainder term

Bartłomiej Dyda. "Fractional Hardy inequality with a remainder term." Colloquium Mathematicae 122.1 (2011): 59-67. <http://eudml.org/doc/283573>.

@article{BartłomiejDyda2011,
abstract = {We prove a Hardy inequality for the fractional Laplacian on the interval with the optimal constant and additional lower order term. As a consequence, we also obtain a fractional Hardy inequality with the best constant and an extra lower order term for general domains, following the method of M. Loss and C. Sloane [J. Funct. Anal. 259 (2010)].},
author = {Bartłomiej Dyda},
journal = {Colloquium Mathematicae},
keywords = {fractional Hardy inequality; best constant; interval; fractional Laplacian; Censore stable process; convex domain; ground state representation},
language = {eng},
number = {1},
pages = {59-67},
title = {Fractional Hardy inequality with a remainder term},
url = {http://eudml.org/doc/283573},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Bartłomiej Dyda
TI - Fractional Hardy inequality with a remainder term
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 1
SP - 59
EP - 67
AB - We prove a Hardy inequality for the fractional Laplacian on the interval with the optimal constant and additional lower order term. As a consequence, we also obtain a fractional Hardy inequality with the best constant and an extra lower order term for general domains, following the method of M. Loss and C. Sloane [J. Funct. Anal. 259 (2010)].
LA - eng
KW - fractional Hardy inequality; best constant; interval; fractional Laplacian; Censore stable process; convex domain; ground state representation
UR - http://eudml.org/doc/283573
ER -