On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality

Agnieszka Kałamajska, and Katarzyna Pietruska-Pałuba. "On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality." Bulletin of the Polish Academy of Sciences. Mathematics 59.2 (2011): 133-149. <http://eudml.org/doc/281247>.

@article{AgnieszkaKałamajska2011,
abstract = {We obtain new variants of weighted Gagliardo-Nirenberg interpolation inequalities in Orlicz spaces, as a consequence of weighted Hardy-type inequalities. The weights we consider need not be doubling.},
author = {Agnieszka Kałamajska, Katarzyna Pietruska-Pałuba},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Hardy inequalities; Gagliardo-Nirenberg inequalities; Orlicz-Sobolev spaces; nondoubling measure},
language = {eng},
number = {2},
pages = {133-149},
title = {On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality},
url = {http://eudml.org/doc/281247},
volume = {59},
year = {2011},
}

TY - JOUR
AU - Agnieszka Kałamajska
AU - Katarzyna Pietruska-Pałuba
TI - On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 2
SP - 133
EP - 149
AB - We obtain new variants of weighted Gagliardo-Nirenberg interpolation inequalities in Orlicz spaces, as a consequence of weighted Hardy-type inequalities. The weights we consider need not be doubling.
LA - eng
KW - Hardy inequalities; Gagliardo-Nirenberg inequalities; Orlicz-Sobolev spaces; nondoubling measure
UR - http://eudml.org/doc/281247
ER -