On a Variant of the Gagliardo–Nirenberg Inequality Deduced from the Hardy Inequality
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 2, pp. 133-149
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
obtain variants weighted gagliardo nirenberg interpolation inequalities orlicz spaces consequence weighted hardy type inequalities weights consider doubling
Affiliations des auteurs :
Agnieszka Kałamajska 1 ; Katarzyna Pietruska-Pałuba 1
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author = {Agnieszka Ka{\l}amajska and Katarzyna Pietruska-Pa{\l}uba},
title = {On a {Variant} of the {Gagliardo{\textendash}Nirenberg} {Inequality} {Deduced} from the {Hardy} {Inequality}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {133--149},
publisher = {mathdoc},
volume = {59},
number = {2},
year = {2011},
doi = {10.4064/ba59-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba59-2-4/}
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Agnieszka Kałamajska; Katarzyna Pietruska-Pałuba. On a Variant of the Gagliardo–Nirenberg Inequality Deduced from the Hardy Inequality. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011) no. 2, pp. 133-149. doi: 10.4064/ba59-2-4
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