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

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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.
DOI : 10.4064/ba59-2-4
Keywords: obtain variants weighted gagliardo nirenberg interpolation inequalities orlicz spaces consequence weighted hardy type inequalities weights consider doubling

Agnieszka Kałamajska  1   ; Katarzyna Pietruska-Pałuba  1

1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Poland
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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     title = {On a {Variant} of the {Gagliardo{\textendash}Nirenberg} {Inequality} {Deduced} from the {Hardy} {Inequality}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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