On a Variant of the Gagliardo–Nirenberg Inequality Deduced from the Hardy Inequality
Bulletin Polish Acad. Sci. Math. 59 (2011), 133-149 MSC: Primary 26D10; Secondary 46E35, 54C30, 35A25. DOI: 10.4064/ba59-2-4
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.