On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality
Agnieszka Kałamajska ; Katarzyna Pietruska-Pałuba
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 59 (2011), p. 133-149 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:281247 
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     author = {Agnieszka Ka\l amajska and Katarzyna Pietruska-Pa\l uba},
     title = {On a Variant of the Gagliardo-Nirenberg Inequality Deduced from the Hardy Inequality},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {59},
     year = {2011},
     pages = {133-149},
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     language = {en},
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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) pp. 133-149. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba59-2-4/